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Finding the Fourth Proportional to 129,411.50, 194,117.28 and 41,859.50

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Solution

The fourth proportional to 129,411.50, 194,117.28 and 41,859.50 is: 62,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,411.50 : 194,117.28 = 41,859.50 : x
  2. Step 2: Convert to fraction form
    129,411.50/194,117.28 = 41,859.50/x
  3. Step 3: Cross multiply
    129,411.50x = 194,117.28 × 41,859.50
  4. Step 4: Simplify right side
    129,411.50x = 8,125,652,282.16
  5. Step 5: Solve for x
    x = 8,125,652,282.16/129,411.50
  6. Step 6: Final answer
    x = 62,789.26

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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.