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Finding the Fourth Proportional to 229,825.20, 344,737.80 and 177,337.20

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Solution

The fourth proportional to 229,825.20, 344,737.80 and 177,337.20 is: 266,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,825.20 : 344,737.80 = 177,337.20 : x
  2. Step 2: Convert to fraction form
    229,825.20/344,737.80 = 177,337.20/x
  3. Step 3: Cross multiply
    229,825.20x = 344,737.80 × 177,337.20
  4. Step 4: Simplify right side
    229,825.20x = 61,134,836,186.16
  5. Step 5: Solve for x
    x = 61,134,836,186.16/229,825.20
  6. Step 6: Final answer
    x = 266,005.80

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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.