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Finding the Fourth Proportional to 102,496.01, 141,445.55 and 57,178.13

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Solution

The fourth proportional to 102,496.01, 141,445.55 and 57,178.13 is: 78,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,496.01 : 141,445.55 = 57,178.13 : x
  2. Step 2: Convert to fraction form
    102,496.01/141,445.55 = 57,178.13/x
  3. Step 3: Cross multiply
    102,496.01x = 141,445.55 × 57,178.13
  4. Step 4: Simplify right side
    102,496.01x = 8,087,591,481.54
  5. Step 5: Solve for x
    x = 8,087,591,481.54/102,496.01
  6. Step 6: Final answer
    x = 78,906.41

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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.