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Finding the Fourth Proportional to 231,223.28, 346,834.92 and 65,011.28

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Solution

The fourth proportional to 231,223.28, 346,834.92 and 65,011.28 is: 97,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,223.28 : 346,834.92 = 65,011.28 : x
  2. Step 2: Convert to fraction form
    231,223.28/346,834.92 = 65,011.28/x
  3. Step 3: Cross multiply
    231,223.28x = 346,834.92 × 65,011.28
  4. Step 4: Simplify right side
    231,223.28x = 22,548,182,097.90
  5. Step 5: Solve for x
    x = 22,548,182,097.90/231,223.28
  6. Step 6: Final answer
    x = 97,516.92

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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.