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Finding the Fourth Proportional to 142,472.40, 213,689.76 and 63,568.32

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Solution

The fourth proportional to 142,472.40, 213,689.76 and 63,568.32 is: 95,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,472.40 : 213,689.76 = 63,568.32 : x
  2. Step 2: Convert to fraction form
    142,472.40/213,689.76 = 63,568.32/x
  3. Step 3: Cross multiply
    142,472.40x = 213,689.76 × 63,568.32
  4. Step 4: Simplify right side
    142,472.40x = 13,583,899,044.40
  5. Step 5: Solve for x
    x = 13,583,899,044.40/142,472.40
  6. Step 6: Final answer
    x = 95,344.07

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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.