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Finding the Fourth Proportional to 102,559.26, 153,747.42 and 55,199.76

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Solution

The fourth proportional to 102,559.26, 153,747.42 and 55,199.76 is: 82,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,559.26 : 153,747.42 = 55,199.76 : x
  2. Step 2: Convert to fraction form
    102,559.26/153,747.42 = 55,199.76/x
  3. Step 3: Cross multiply
    102,559.26x = 153,747.42 × 55,199.76
  4. Step 4: Simplify right side
    102,559.26x = 8,486,820,684.62
  5. Step 5: Solve for x
    x = 8,486,820,684.62/102,559.26
  6. Step 6: Final answer
    x = 82,750.41

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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.