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Finding the Fourth Proportional to 159,496.77, 239,282.19 and 54,316.65

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Solution

The fourth proportional to 159,496.77, 239,282.19 and 54,316.65 is: 81,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,496.77 : 239,282.19 = 54,316.65 : x
  2. Step 2: Convert to fraction form
    159,496.77/239,282.19 = 54,316.65/x
  3. Step 3: Cross multiply
    159,496.77x = 239,282.19 × 54,316.65
  4. Step 4: Simplify right side
    159,496.77x = 12,997,006,965.46
  5. Step 5: Solve for x
    x = 12,997,006,965.46/159,496.77
  6. Step 6: Final answer
    x = 81,487.59

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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.