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Finding the Fourth Proportional to 142,146.92, 213,219.34 and 57,887.28

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Solution

The fourth proportional to 142,146.92, 213,219.34 and 57,887.28 is: 86,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,146.92 : 213,219.34 = 57,887.28 : x
  2. Step 2: Convert to fraction form
    142,146.92/213,219.34 = 57,887.28/x
  3. Step 3: Cross multiply
    142,146.92x = 213,219.34 × 57,887.28
  4. Step 4: Simplify right side
    142,146.92x = 12,342,687,491.28
  5. Step 5: Solve for x
    x = 12,342,687,491.28/142,146.92
  6. Step 6: Final answer
    x = 86,830.49

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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.