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Finding the Fourth Proportional to 157,065.31, 235,596.89 and 63,569.71

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Solution

The fourth proportional to 157,065.31, 235,596.89 and 63,569.71 is: 95,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,065.31 : 235,596.89 = 63,569.71 : x
  2. Step 2: Convert to fraction form
    157,065.31/235,596.89 = 63,569.71/x
  3. Step 3: Cross multiply
    157,065.31x = 235,596.89 × 63,569.71
  4. Step 4: Simplify right side
    157,065.31x = 14,976,825,656.35
  5. Step 5: Solve for x
    x = 14,976,825,656.35/157,065.31
  6. Step 6: Final answer
    x = 95,354.13

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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.