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Finding the Fourth Proportional to 311,925.57, 467,839.53 and 101,562.09

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Solution

The fourth proportional to 311,925.57, 467,839.53 and 101,562.09 is: 152,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,925.57 : 467,839.53 = 101,562.09 : x
  2. Step 2: Convert to fraction form
    311,925.57/467,839.53 = 101,562.09/x
  3. Step 3: Cross multiply
    311,925.57x = 467,839.53 × 101,562.09
  4. Step 4: Simplify right side
    311,925.57x = 47,514,760,451.42
  5. Step 5: Solve for x
    x = 47,514,760,451.42/311,925.57
  6. Step 6: Final answer
    x = 152,327.24

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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.