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Finding the Fourth Proportional to 106,827.20, 160,478.40 and 89,331.20

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Solution

The fourth proportional to 106,827.20, 160,478.40 and 89,331.20 is: 134,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,827.20 : 160,478.40 = 89,331.20 : x
  2. Step 2: Convert to fraction form
    106,827.20/160,478.40 = 89,331.20/x
  3. Step 3: Cross multiply
    106,827.20x = 160,478.40 × 89,331.20
  4. Step 4: Simplify right side
    106,827.20x = 14,335,728,046.08
  5. Step 5: Solve for x
    x = 14,335,728,046.08/106,827.20
  6. Step 6: Final answer
    x = 134,195.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.