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Finding the Fourth Proportional to 107,181.85, 147,916.86 and 59,434.17

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Solution

The fourth proportional to 107,181.85, 147,916.86 and 59,434.17 is: 82,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,181.85 : 147,916.86 = 59,434.17 : x
  2. Step 2: Convert to fraction form
    107,181.85/147,916.86 = 59,434.17/x
  3. Step 3: Cross multiply
    107,181.85x = 147,916.86 × 59,434.17
  4. Step 4: Simplify right side
    107,181.85x = 8,791,315,803.11
  5. Step 5: Solve for x
    x = 8,791,315,803.11/107,181.85
  6. Step 6: Final answer
    x = 82,022.43

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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.