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Finding the Fourth Proportional to 230,101.20, 344,860.98 and 103,606.74

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Solution

The fourth proportional to 230,101.20, 344,860.98 and 103,606.74 is: 155,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,101.20 : 344,860.98 = 103,606.74 : x
  2. Step 2: Convert to fraction form
    230,101.20/344,860.98 = 103,606.74/x
  3. Step 3: Cross multiply
    230,101.20x = 344,860.98 × 103,606.74
  4. Step 4: Simplify right side
    230,101.20x = 35,729,921,891.01
  5. Step 5: Solve for x
    x = 35,729,921,891.01/230,101.20
  6. Step 6: Final answer
    x = 155,279.16

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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.