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Finding the Fourth Proportional to 142,258.68, 213,399 and 42,411.24

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Solution

The fourth proportional to 142,258.68, 213,399 and 42,411.24 is: 63,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,258.68 : 213,399 = 42,411.24 : x
  2. Step 2: Convert to fraction form
    142,258.68/213,399 = 42,411.24/x
  3. Step 3: Cross multiply
    142,258.68x = 213,399 × 42,411.24
  4. Step 4: Simplify right side
    142,258.68x = 9,050,516,204.76
  5. Step 5: Solve for x
    x = 9,050,516,204.76/142,258.68
  6. Step 6: Final answer
    x = 63,620.13

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