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Finding the Fourth Proportional to 129,301, 193,856.46 and 49,324.84

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Solution

The fourth proportional to 129,301, 193,856.46 and 49,324.84 is: 73,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,301 : 193,856.46 = 49,324.84 : x
  2. Step 2: Convert to fraction form
    129,301/193,856.46 = 49,324.84/x
  3. Step 3: Cross multiply
    129,301x = 193,856.46 × 49,324.84
  4. Step 4: Simplify right side
    129,301x = 9,561,938,872.47
  5. Step 5: Solve for x
    x = 9,561,938,872.47/129,301
  6. Step 6: Final answer
    x = 73,951.00

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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.