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Finding the Fourth Proportional to 264,713.63, 397,119.66 and 87,227.65

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Solution

The fourth proportional to 264,713.63, 397,119.66 and 87,227.65 is: 130,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,713.63 : 397,119.66 = 87,227.65 : x
  2. Step 2: Convert to fraction form
    264,713.63/397,119.66 = 87,227.65/x
  3. Step 3: Cross multiply
    264,713.63x = 397,119.66 × 87,227.65
  4. Step 4: Simplify right side
    264,713.63x = 34,639,812,288.86
  5. Step 5: Solve for x
    x = 34,639,812,288.86/264,713.63
  6. Step 6: Final answer
    x = 130,857.68

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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.