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Finding the Fourth Proportional to 142,121.60, 213,145.28 and 42,254.90

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Solution

The fourth proportional to 142,121.60, 213,145.28 and 42,254.90 is: 63,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,121.60 : 213,145.28 = 42,254.90 : x
  2. Step 2: Convert to fraction form
    142,121.60/213,145.28 = 42,254.90/x
  3. Step 3: Cross multiply
    142,121.60x = 213,145.28 × 42,254.90
  4. Step 4: Simplify right side
    142,121.60x = 9,006,432,280.60
  5. Step 5: Solve for x
    x = 9,006,432,280.60/142,121.60
  6. Step 6: Final answer
    x = 63,371.31

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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.