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Finding the Fourth Proportional to 102,420.50, 141,340.88 and 57,101.34

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Solution

The fourth proportional to 102,420.50, 141,340.88 and 57,101.34 is: 78,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420.50 : 141,340.88 = 57,101.34 : x
  2. Step 2: Convert to fraction form
    102,420.50/141,340.88 = 57,101.34/x
  3. Step 3: Cross multiply
    102,420.50x = 141,340.88 × 57,101.34
  4. Step 4: Simplify right side
    102,420.50x = 8,070,753,644.78
  5. Step 5: Solve for x
    x = 8,070,753,644.78/102,420.50
  6. Step 6: Final answer
    x = 78,800.18

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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.