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Finding the Fourth Proportional to 225,627.38, 311,369.22 and 123,652.01

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Solution

The fourth proportional to 225,627.38, 311,369.22 and 123,652.01 is: 170,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,627.38 : 311,369.22 = 123,652.01 : x
  2. Step 2: Convert to fraction form
    225,627.38/311,369.22 = 123,652.01/x
  3. Step 3: Cross multiply
    225,627.38x = 311,369.22 × 123,652.01
  4. Step 4: Simplify right side
    225,627.38x = 38,501,428,348.29
  5. Step 5: Solve for x
    x = 38,501,428,348.29/225,627.38
  6. Step 6: Final answer
    x = 170,641.65

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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.