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Finding the Fourth Proportional to 159,151.92, 238,727.94 and 40,823.25

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Solution

The fourth proportional to 159,151.92, 238,727.94 and 40,823.25 is: 61,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,151.92 : 238,727.94 = 40,823.25 : x
  2. Step 2: Convert to fraction form
    159,151.92/238,727.94 = 40,823.25/x
  3. Step 3: Cross multiply
    159,151.92x = 238,727.94 × 40,823.25
  4. Step 4: Simplify right side
    159,151.92x = 9,745,650,376.61
  5. Step 5: Solve for x
    x = 9,745,650,376.61/159,151.92
  6. Step 6: Final answer
    x = 61,234.89

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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.