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Finding the Fourth Proportional to 225,153.38, 310,709.30 and 123,177.80

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Solution

The fourth proportional to 225,153.38, 310,709.30 and 123,177.80 is: 169,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,153.38 : 310,709.30 = 123,177.80 : x
  2. Step 2: Convert to fraction form
    225,153.38/310,709.30 = 123,177.80/x
  3. Step 3: Cross multiply
    225,153.38x = 310,709.30 × 123,177.80
  4. Step 4: Simplify right side
    225,153.38x = 38,272,488,013.54
  5. Step 5: Solve for x
    x = 38,272,488,013.54/225,153.38
  6. Step 6: Final answer
    x = 169,984.07

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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.