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Finding the Fourth Proportional to 176,306.78, 264,229.15 and 81,524.93

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Solution

The fourth proportional to 176,306.78, 264,229.15 and 81,524.93 is: 122,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,306.78 : 264,229.15 = 81,524.93 : x
  2. Step 2: Convert to fraction form
    176,306.78/264,229.15 = 81,524.93/x
  3. Step 3: Cross multiply
    176,306.78x = 264,229.15 × 81,524.93
  4. Step 4: Simplify right side
    176,306.78x = 21,541,262,957.71
  5. Step 5: Solve for x
    x = 21,541,262,957.71/176,306.78
  6. Step 6: Final answer
    x = 122,180.57

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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.