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Finding the Fourth Proportional to 234,013.48, 350,462.22 and 149,507.80

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Solution

The fourth proportional to 234,013.48, 350,462.22 and 149,507.80 is: 223,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,013.48 : 350,462.22 = 149,507.80 : x
  2. Step 2: Convert to fraction form
    234,013.48/350,462.22 = 149,507.80/x
  3. Step 3: Cross multiply
    234,013.48x = 350,462.22 × 149,507.80
  4. Step 4: Simplify right side
    234,013.48x = 52,396,835,495.32
  5. Step 5: Solve for x
    x = 52,396,835,495.32/234,013.48
  6. Step 6: Final answer
    x = 223,905.20

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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.