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Finding the Fourth Proportional to 285,496.14, 428,251.14 and 95,959.26

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Solution

The fourth proportional to 285,496.14, 428,251.14 and 95,959.26 is: 143,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,496.14 : 428,251.14 = 95,959.26 : x
  2. Step 2: Convert to fraction form
    285,496.14/428,251.14 = 95,959.26/x
  3. Step 3: Cross multiply
    285,496.14x = 428,251.14 × 95,959.26
  4. Step 4: Simplify right side
    285,496.14x = 41,094,662,488.56
  5. Step 5: Solve for x
    x = 41,094,662,488.56/285,496.14
  6. Step 6: Final answer
    x = 143,941.22

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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.