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Finding the Fourth Proportional to 102,193.55, 141,039.38 and 61,906.13

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Solution

The fourth proportional to 102,193.55, 141,039.38 and 61,906.13 is: 85,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,193.55 : 141,039.38 = 61,906.13 : x
  2. Step 2: Convert to fraction form
    102,193.55/141,039.38 = 61,906.13/x
  3. Step 3: Cross multiply
    102,193.55x = 141,039.38 × 61,906.13
  4. Step 4: Simplify right side
    102,193.55x = 8,731,202,193.40
  5. Step 5: Solve for x
    x = 8,731,202,193.40/102,193.55
  6. Step 6: Final answer
    x = 85,437.90

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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.