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Finding the Fourth Proportional to 205,503.89, 283,606.11 and 124,918.20

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Solution

The fourth proportional to 205,503.89, 283,606.11 and 124,918.20 is: 172,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,503.89 : 283,606.11 = 124,918.20 : x
  2. Step 2: Convert to fraction form
    205,503.89/283,606.11 = 124,918.20/x
  3. Step 3: Cross multiply
    205,503.89x = 283,606.11 × 124,918.20
  4. Step 4: Simplify right side
    205,503.89x = 35,427,564,770.20
  5. Step 5: Solve for x
    x = 35,427,564,770.20/205,503.89
  6. Step 6: Final answer
    x = 172,393.65

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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.