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Finding the Fourth Proportional to 129,432.04, 194,068.78 and 50,454

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Solution

The fourth proportional to 129,432.04, 194,068.78 and 50,454 is: 75,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,432.04 : 194,068.78 = 50,454 : x
  2. Step 2: Convert to fraction form
    129,432.04/194,068.78 = 50,454/x
  3. Step 3: Cross multiply
    129,432.04x = 194,068.78 × 50,454
  4. Step 4: Simplify right side
    129,432.04x = 9,791,546,099.99
  5. Step 5: Solve for x
    x = 9,791,546,099.99/129,432.04
  6. Step 6: Final answer
    x = 75,650.10

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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.