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Finding the Fourth Proportional to 153,454.52, 211,773.77 and 85,471.47

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Solution

The fourth proportional to 153,454.52, 211,773.77 and 85,471.47 is: 117,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,454.52 : 211,773.77 = 85,471.47 : x
  2. Step 2: Convert to fraction form
    153,454.52/211,773.77 = 85,471.47/x
  3. Step 3: Cross multiply
    153,454.52x = 211,773.77 × 85,471.47
  4. Step 4: Simplify right side
    153,454.52x = 18,100,615,001.98
  5. Step 5: Solve for x
    x = 18,100,615,001.98/153,454.52
  6. Step 6: Final answer
    x = 117,954.27

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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.