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Finding the Fourth Proportional to 153,375,577.25, 211,659,978.96 and 83,763,006.39

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Solution

The fourth proportional to 153,375,577.25, 211,659,978.96 and 83,763,006.39 is: 115,593,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,375,577.25 : 211,659,978.96 = 83,763,006.39 : x
  2. Step 2: Convert to fraction form
    153,375,577.25/211,659,978.96 = 83,763,006.39/x
  3. Step 3: Cross multiply
    153,375,577.25x = 211,659,978.96 × 83,763,006.39
  4. Step 4: Simplify right side
    153,375,577.25x = 17,729,276,170,133,746
  5. Step 5: Solve for x
    x = 17,729,276,170,133,746/153,375,577.25
  6. Step 6: Final answer
    x = 115,593,867.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.