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Finding the Fourth Proportional to 153,753.56, 230,717.82 and 101,187.80

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Solution

The fourth proportional to 153,753.56, 230,717.82 and 101,187.80 is: 151,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,753.56 : 230,717.82 = 101,187.80 : x
  2. Step 2: Convert to fraction form
    153,753.56/230,717.82 = 101,187.80/x
  3. Step 3: Cross multiply
    153,753.56x = 230,717.82 × 101,187.80
  4. Step 4: Simplify right side
    153,753.56x = 23,345,828,626.60
  5. Step 5: Solve for x
    x = 23,345,828,626.60/153,753.56
  6. Step 6: Final answer
    x = 151,839.27

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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.