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Finding the Fourth Proportional to 136,031.20, 204,046.80 and 73,823.20

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Solution

The fourth proportional to 136,031.20, 204,046.80 and 73,823.20 is: 110,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,031.20 : 204,046.80 = 73,823.20 : x
  2. Step 2: Convert to fraction form
    136,031.20/204,046.80 = 73,823.20/x
  3. Step 3: Cross multiply
    136,031.20x = 204,046.80 × 73,823.20
  4. Step 4: Simplify right side
    136,031.20x = 15,063,387,725.76
  5. Step 5: Solve for x
    x = 15,063,387,725.76/136,031.20
  6. Step 6: Final answer
    x = 110,734.80

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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.