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Finding the Fourth Proportional to 218,404.38, 301,348.17 and 122,876.22

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Solution

The fourth proportional to 218,404.38, 301,348.17 and 122,876.22 is: 169,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,404.38 : 301,348.17 = 122,876.22 : x
  2. Step 2: Convert to fraction form
    218,404.38/301,348.17 = 122,876.22/x
  3. Step 3: Cross multiply
    218,404.38x = 301,348.17 × 122,876.22
  4. Step 4: Simplify right side
    218,404.38x = 37,028,523,364.25
  5. Step 5: Solve for x
    x = 37,028,523,364.25/218,404.38
  6. Step 6: Final answer
    x = 169,541.12

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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.