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Finding the Fourth Proportional to 230,314.80, 344,691.90 and 141,624.48

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Solution

The fourth proportional to 230,314.80, 344,691.90 and 141,624.48 is: 211,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,314.80 : 344,691.90 = 141,624.48 : x
  2. Step 2: Convert to fraction form
    230,314.80/344,691.90 = 141,624.48/x
  3. Step 3: Cross multiply
    230,314.80x = 344,691.90 × 141,624.48
  4. Step 4: Simplify right side
    230,314.80x = 48,816,811,097.71
  5. Step 5: Solve for x
    x = 48,816,811,097.71/230,314.80
  6. Step 6: Final answer
    x = 211,956.90

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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.