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Finding the Fourth Proportional to 264,882.30, 397,500.12 and 96,402.59

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Solution

The fourth proportional to 264,882.30, 397,500.12 and 96,402.59 is: 144,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,882.30 : 397,500.12 = 96,402.59 : x
  2. Step 2: Convert to fraction form
    264,882.30/397,500.12 = 96,402.59/x
  3. Step 3: Cross multiply
    264,882.30x = 397,500.12 × 96,402.59
  4. Step 4: Simplify right side
    264,882.30x = 38,320,039,105.81
  5. Step 5: Solve for x
    x = 38,320,039,105.81/264,882.30
  6. Step 6: Final answer
    x = 144,668.18

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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.