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Finding the Fourth Proportional to 153,721.20, 230,581.80 and 96,034.80

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Solution

The fourth proportional to 153,721.20, 230,581.80 and 96,034.80 is: 144,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,721.20 : 230,581.80 = 96,034.80 : x
  2. Step 2: Convert to fraction form
    153,721.20/230,581.80 = 96,034.80/x
  3. Step 3: Cross multiply
    153,721.20x = 230,581.80 × 96,034.80
  4. Step 4: Simplify right side
    153,721.20x = 22,143,877,046.64
  5. Step 5: Solve for x
    x = 22,143,877,046.64/153,721.20
  6. Step 6: Final answer
    x = 144,052.20

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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.