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Finding the Fourth Proportional to 229,724.84, 344,520.70 and 89,452.20

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Solution

The fourth proportional to 229,724.84, 344,520.70 and 89,452.20 is: 134,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,724.84 : 344,520.70 = 89,452.20 : x
  2. Step 2: Convert to fraction form
    229,724.84/344,520.70 = 89,452.20/x
  3. Step 3: Cross multiply
    229,724.84x = 344,520.70 × 89,452.20
  4. Step 4: Simplify right side
    229,724.84x = 30,818,134,560.54
  5. Step 5: Solve for x
    x = 30,818,134,560.54/229,724.84
  6. Step 6: Final answer
    x = 134,152.38

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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.