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Finding the Fourth Proportional to 102,431.67, 141,356.76 and 59,414.05

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Solution

The fourth proportional to 102,431.67, 141,356.76 and 59,414.05 is: 81,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,431.67 : 141,356.76 = 59,414.05 : x
  2. Step 2: Convert to fraction form
    102,431.67/141,356.76 = 59,414.05/x
  3. Step 3: Cross multiply
    102,431.67x = 141,356.76 × 59,414.05
  4. Step 4: Simplify right side
    102,431.67x = 8,398,577,560.37
  5. Step 5: Solve for x
    x = 8,398,577,560.37/102,431.67
  6. Step 6: Final answer
    x = 81,992.00

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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.