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Finding the Fourth Proportional to 159,494.77, 239,279.19 and 54,314.65

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Solution

The fourth proportional to 159,494.77, 239,279.19 and 54,314.65 is: 81,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,494.77 : 239,279.19 = 54,314.65 : x
  2. Step 2: Convert to fraction form
    159,494.77/239,279.19 = 54,314.65/x
  3. Step 3: Cross multiply
    159,494.77x = 239,279.19 × 54,314.65
  4. Step 4: Simplify right side
    159,494.77x = 12,996,365,457.13
  5. Step 5: Solve for x
    x = 12,996,365,457.13/159,494.77
  6. Step 6: Final answer
    x = 81,484.59

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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.