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Finding the Fourth Proportional to 103,302.68, 155,019.52 and 44,138.80

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Solution

The fourth proportional to 103,302.68, 155,019.52 and 44,138.80 is: 66,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,302.68 : 155,019.52 = 44,138.80 : x
  2. Step 2: Convert to fraction form
    103,302.68/155,019.52 = 44,138.80/x
  3. Step 3: Cross multiply
    103,302.68x = 155,019.52 × 44,138.80
  4. Step 4: Simplify right side
    103,302.68x = 6,842,375,589.38
  5. Step 5: Solve for x
    x = 6,842,375,589.38/103,302.68
  6. Step 6: Final answer
    x = 66,236.19

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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.