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Finding the Fourth Proportional to 226,041.40, 338,624.70 and 132,437.80

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Solution

The fourth proportional to 226,041.40, 338,624.70 and 132,437.80 is: 198,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,041.40 : 338,624.70 = 132,437.80 : x
  2. Step 2: Convert to fraction form
    226,041.40/338,624.70 = 132,437.80/x
  3. Step 3: Cross multiply
    226,041.40x = 338,624.70 × 132,437.80
  4. Step 4: Simplify right side
    226,041.40x = 44,846,710,293.66
  5. Step 5: Solve for x
    x = 44,846,710,293.66/226,041.40
  6. Step 6: Final answer
    x = 198,400.43

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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.