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Finding the Fourth Proportional to 226,034.20, 338,835.30 and 83,841.40

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Solution

The fourth proportional to 226,034.20, 338,835.30 and 83,841.40 is: 125,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,034.20 : 338,835.30 = 83,841.40 : x
  2. Step 2: Convert to fraction form
    226,034.20/338,835.30 = 83,841.40/x
  3. Step 3: Cross multiply
    226,034.20x = 338,835.30 × 83,841.40
  4. Step 4: Simplify right side
    226,034.20x = 28,408,425,921.42
  5. Step 5: Solve for x
    x = 28,408,425,921.42/226,034.20
  6. Step 6: Final answer
    x = 125,681.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.