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Finding the Fourth Proportional to 264,859.65, 397,301.72 and 87,382.17

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Solution

The fourth proportional to 264,859.65, 397,301.72 and 87,382.17 is: 131,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,859.65 : 397,301.72 = 87,382.17 : x
  2. Step 2: Convert to fraction form
    264,859.65/397,301.72 = 87,382.17/x
  3. Step 3: Cross multiply
    264,859.65x = 397,301.72 × 87,382.17
  4. Step 4: Simplify right side
    264,859.65x = 34,717,086,001.42
  5. Step 5: Solve for x
    x = 34,717,086,001.42/264,859.65
  6. Step 6: Final answer
    x = 131,077.29

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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.