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Finding the Fourth Proportional to 129,458.60, 178,560.86 and 86,416.40

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Solution

The fourth proportional to 129,458.60, 178,560.86 and 86,416.40 is: 119,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,458.60 : 178,560.86 = 86,416.40 : x
  2. Step 2: Convert to fraction form
    129,458.60/178,560.86 = 86,416.40/x
  3. Step 3: Cross multiply
    129,458.60x = 178,560.86 × 86,416.40
  4. Step 4: Simplify right side
    129,458.60x = 15,430,586,702.10
  5. Step 5: Solve for x
    x = 15,430,586,702.10/129,458.60
  6. Step 6: Final answer
    x = 119,193.21

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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.