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Finding the Fourth Proportional to 232,869.60, 349,726.80 and 203,839.20

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Solution

The fourth proportional to 232,869.60, 349,726.80 and 203,839.20 is: 306,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,869.60 : 349,726.80 = 203,839.20 : x
  2. Step 2: Convert to fraction form
    232,869.60/349,726.80 = 203,839.20/x
  3. Step 3: Cross multiply
    232,869.60x = 349,726.80 × 203,839.20
  4. Step 4: Simplify right side
    232,869.60x = 71,288,031,130.56
  5. Step 5: Solve for x
    x = 71,288,031,130.56/232,869.60
  6. Step 6: Final answer
    x = 306,128.54

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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.