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Finding the Fourth Proportional to 176,202.80, 264,304.20 and 81,432.80

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Solution

The fourth proportional to 176,202.80, 264,304.20 and 81,432.80 is: 122,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,202.80 : 264,304.20 = 81,432.80 : x
  2. Step 2: Convert to fraction form
    176,202.80/264,304.20 = 81,432.80/x
  3. Step 3: Cross multiply
    176,202.80x = 264,304.20 × 81,432.80
  4. Step 4: Simplify right side
    176,202.80x = 21,523,031,057.76
  5. Step 5: Solve for x
    x = 21,523,031,057.76/176,202.80
  6. Step 6: Final answer
    x = 122,149.20

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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.