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Finding the Fourth Proportional to 285,632.68, 428,151.84 and 95,952.28

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Solution

The fourth proportional to 285,632.68, 428,151.84 and 95,952.28 is: 143,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,632.68 : 428,151.84 = 95,952.28 : x
  2. Step 2: Convert to fraction form
    285,632.68/428,151.84 = 95,952.28/x
  3. Step 3: Cross multiply
    285,632.68x = 428,151.84 × 95,952.28
  4. Step 4: Simplify right side
    285,632.68x = 41,082,145,234.20
  5. Step 5: Solve for x
    x = 41,082,145,234.20/285,632.68
  6. Step 6: Final answer
    x = 143,828.59

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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.