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Finding the Fourth Proportional to 138,404.52, 190,998.25 and 74,742.30

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Solution

The fourth proportional to 138,404.52, 190,998.25 and 74,742.30 is: 103,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,404.52 : 190,998.25 = 74,742.30 : x
  2. Step 2: Convert to fraction form
    138,404.52/190,998.25 = 74,742.30/x
  3. Step 3: Cross multiply
    138,404.52x = 190,998.25 × 74,742.30
  4. Step 4: Simplify right side
    138,404.52x = 14,275,648,314.12
  5. Step 5: Solve for x
    x = 14,275,648,314.12/138,404.52
  6. Step 6: Final answer
    x = 103,144.38

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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.