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Finding the Fourth Proportional to 160,861.84, 221,979.32 and 89,240.40

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Solution

The fourth proportional to 160,861.84, 221,979.32 and 89,240.40 is: 123,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,861.84 : 221,979.32 = 89,240.40 : x
  2. Step 2: Convert to fraction form
    160,861.84/221,979.32 = 89,240.40/x
  3. Step 3: Cross multiply
    160,861.84x = 221,979.32 × 89,240.40
  4. Step 4: Simplify right side
    160,861.84x = 19,809,523,308.53
  5. Step 5: Solve for x
    x = 19,809,523,308.53/160,861.84
  6. Step 6: Final answer
    x = 123,146.19

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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.