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Finding the Fourth Proportional to 116,411.60, 160,591.56 and 78,683.60

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Solution

The fourth proportional to 116,411.60, 160,591.56 and 78,683.60 is: 108,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,411.60 : 160,591.56 = 78,683.60 : x
  2. Step 2: Convert to fraction form
    116,411.60/160,591.56 = 78,683.60/x
  3. Step 3: Cross multiply
    116,411.60x = 160,591.56 × 78,683.60
  4. Step 4: Simplify right side
    116,411.60x = 12,635,922,070.42
  5. Step 5: Solve for x
    x = 12,635,922,070.42/116,411.60
  6. Step 6: Final answer
    x = 108,545.21

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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.