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Finding the Fourth Proportional to 218,146.80, 301,034.88 and 122,658.96

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Solution

The fourth proportional to 218,146.80, 301,034.88 and 122,658.96 is: 169,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,146.80 : 301,034.88 = 122,658.96 : x
  2. Step 2: Convert to fraction form
    218,146.80/301,034.88 = 122,658.96/x
  3. Step 3: Cross multiply
    218,146.80x = 301,034.88 × 122,658.96
  4. Step 4: Simplify right side
    218,146.80x = 36,924,625,304.52
  5. Step 5: Solve for x
    x = 36,924,625,304.52/218,146.80
  6. Step 6: Final answer
    x = 169,265.03

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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.