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Finding the Fourth Proportional to 116,151.47, 160,269.59 and 68,414.32

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Solution

The fourth proportional to 116,151.47, 160,269.59 and 68,414.32 is: 94,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,151.47 : 160,269.59 = 68,414.32 : x
  2. Step 2: Convert to fraction form
    116,151.47/160,269.59 = 68,414.32/x
  3. Step 3: Cross multiply
    116,151.47x = 160,269.59 × 68,414.32
  4. Step 4: Simplify right side
    116,151.47x = 10,964,735,016.53
  5. Step 5: Solve for x
    x = 10,964,735,016.53/116,151.47
  6. Step 6: Final answer
    x = 94,400.31

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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.