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Finding the Fourth Proportional to 116,013.50, 160,175.85 and 89,108

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Solution

The fourth proportional to 116,013.50, 160,175.85 and 89,108 is: 123,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,013.50 : 160,175.85 = 89,108 : x
  2. Step 2: Convert to fraction form
    116,013.50/160,175.85 = 89,108/x
  3. Step 3: Cross multiply
    116,013.50x = 160,175.85 × 89,108
  4. Step 4: Simplify right side
    116,013.50x = 14,272,949,641.80
  5. Step 5: Solve for x
    x = 14,272,949,641.80/116,013.50
  6. Step 6: Final answer
    x = 123,028.35

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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.