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Finding the Fourth Proportional to 229,772.56, 344,591.88 and 89,497.84

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Solution

The fourth proportional to 229,772.56, 344,591.88 and 89,497.84 is: 134,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,772.56 : 344,591.88 = 89,497.84 : x
  2. Step 2: Convert to fraction form
    229,772.56/344,591.88 = 89,497.84/x
  3. Step 3: Cross multiply
    229,772.56x = 344,591.88 × 89,497.84
  4. Step 4: Simplify right side
    229,772.56x = 30,840,228,941.54
  5. Step 5: Solve for x
    x = 30,840,228,941.54/229,772.56
  6. Step 6: Final answer
    x = 134,220.68

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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.