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Finding the Fourth Proportional to 159,502.77, 239,291.19 and 54,322.65

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Solution

The fourth proportional to 159,502.77, 239,291.19 and 54,322.65 is: 81,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,502.77 : 239,291.19 = 54,322.65 : x
  2. Step 2: Convert to fraction form
    159,502.77/239,291.19 = 54,322.65/x
  3. Step 3: Cross multiply
    159,502.77x = 239,291.19 × 54,322.65
  4. Step 4: Simplify right side
    159,502.77x = 12,998,931,562.45
  5. Step 5: Solve for x
    x = 12,998,931,562.45/159,502.77
  6. Step 6: Final answer
    x = 81,496.59

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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.