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Finding the Fourth Proportional to 120,519.66, 180,711.72 and 49,422.72

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Solution

The fourth proportional to 120,519.66, 180,711.72 and 49,422.72 is: 74,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,519.66 : 180,711.72 = 49,422.72 : x
  2. Step 2: Convert to fraction form
    120,519.66/180,711.72 = 49,422.72/x
  3. Step 3: Cross multiply
    120,519.66x = 180,711.72 × 49,422.72
  4. Step 4: Simplify right side
    120,519.66x = 8,931,264,738.28
  5. Step 5: Solve for x
    x = 8,931,264,738.28/120,519.66
  6. Step 6: Final answer
    x = 74,106.29

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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.