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Finding the Fourth Proportional to 102,475.30, 141,419.43 and 59,451.54

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Solution

The fourth proportional to 102,475.30, 141,419.43 and 59,451.54 is: 82,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,475.30 : 141,419.43 = 59,451.54 : x
  2. Step 2: Convert to fraction form
    102,475.30/141,419.43 = 59,451.54/x
  3. Step 3: Cross multiply
    102,475.30x = 141,419.43 × 59,451.54
  4. Step 4: Simplify right side
    102,475.30x = 8,407,602,899.42
  5. Step 5: Solve for x
    x = 8,407,602,899.42/102,475.30
  6. Step 6: Final answer
    x = 82,045.17

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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.