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Finding the Fourth Proportional to 229,264.80, 344,022.72 and 89,028.96

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Solution

The fourth proportional to 229,264.80, 344,022.72 and 89,028.96 is: 133,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,264.80 : 344,022.72 = 89,028.96 : x
  2. Step 2: Convert to fraction form
    229,264.80/344,022.72 = 89,028.96/x
  3. Step 3: Cross multiply
    229,264.80x = 344,022.72 × 89,028.96
  4. Step 4: Simplify right side
    229,264.80x = 30,627,984,977.97
  5. Step 5: Solve for x
    x = 30,627,984,977.97/229,264.80
  6. Step 6: Final answer
    x = 133,592.18

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Why These Related Problems?

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