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Finding the Fourth Proportional to 99,409, 137,184.42 and 54,697

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Solution

The fourth proportional to 99,409, 137,184.42 and 54,697 is: 75,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,409 : 137,184.42 = 54,697 : x
  2. Step 2: Convert to fraction form
    99,409/137,184.42 = 54,697/x
  3. Step 3: Cross multiply
    99,409x = 137,184.42 × 54,697
  4. Step 4: Simplify right side
    99,409x = 7,503,576,220.74
  5. Step 5: Solve for x
    x = 7,503,576,220.74/99,409
  6. Step 6: Final answer
    x = 75,481.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.