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Finding the Fourth Proportional to 230,158.56, 344,810.14 and 125,065.92

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Solution

The fourth proportional to 230,158.56, 344,810.14 and 125,065.92 is: 187,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,158.56 : 344,810.14 = 125,065.92 : x
  2. Step 2: Convert to fraction form
    230,158.56/344,810.14 = 125,065.92/x
  3. Step 3: Cross multiply
    230,158.56x = 344,810.14 × 125,065.92
  4. Step 4: Simplify right side
    230,158.56x = 43,123,997,384.43
  5. Step 5: Solve for x
    x = 43,123,997,384.43/230,158.56
  6. Step 6: Final answer
    x = 187,366.47

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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.