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Finding the Fourth Proportional to 182,641.78, 252,123.24 and 111,044.66

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Solution

The fourth proportional to 182,641.78, 252,123.24 and 111,044.66 is: 153,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,641.78 : 252,123.24 = 111,044.66 : x
  2. Step 2: Convert to fraction form
    182,641.78/252,123.24 = 111,044.66/x
  3. Step 3: Cross multiply
    182,641.78x = 252,123.24 × 111,044.66
  4. Step 4: Simplify right side
    182,641.78x = 27,996,939,463.90
  5. Step 5: Solve for x
    x = 27,996,939,463.90/182,641.78
  6. Step 6: Final answer
    x = 153,288.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.