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Finding the Fourth Proportional to 142,165.31, 213,188.67 and 57,868.43

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Solution

The fourth proportional to 142,165.31, 213,188.67 and 57,868.43 is: 86,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,165.31 : 213,188.67 = 57,868.43 : x
  2. Step 2: Convert to fraction form
    142,165.31/213,188.67 = 57,868.43/x
  3. Step 3: Cross multiply
    142,165.31x = 213,188.67 × 57,868.43
  4. Step 4: Simplify right side
    142,165.31x = 12,336,892,560.74
  5. Step 5: Solve for x
    x = 12,336,892,560.74/142,165.31
  6. Step 6: Final answer
    x = 86,778.50

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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.