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Finding the Fourth Proportional to 102,442.52, 141,356.76 and 57,114.92

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Solution

The fourth proportional to 102,442.52, 141,356.76 and 57,114.92 is: 78,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,442.52 : 141,356.76 = 57,114.92 : x
  2. Step 2: Convert to fraction form
    102,442.52/141,356.76 = 57,114.92/x
  3. Step 3: Cross multiply
    102,442.52x = 141,356.76 × 57,114.92
  4. Step 4: Simplify right side
    102,442.52x = 8,073,580,038.86
  5. Step 5: Solve for x
    x = 8,073,580,038.86/102,442.52
  6. Step 6: Final answer
    x = 78,810.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.