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Finding the Fourth Proportional to 142,657.96, 214,053.36 and 63,825.52

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Solution

The fourth proportional to 142,657.96, 214,053.36 and 63,825.52 is: 95,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.96 : 214,053.36 = 63,825.52 : x
  2. Step 2: Convert to fraction form
    142,657.96/214,053.36 = 63,825.52/x
  3. Step 3: Cross multiply
    142,657.96x = 214,053.36 × 63,825.52
  4. Step 4: Simplify right side
    142,657.96x = 13,662,067,009.75
  5. Step 5: Solve for x
    x = 13,662,067,009.75/142,657.96
  6. Step 6: Final answer
    x = 95,768.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.