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Finding the Fourth Proportional to 100,171.86, 138,241.08 and 54,847.14

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Solution

The fourth proportional to 100,171.86, 138,241.08 and 54,847.14 is: 75,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,171.86 : 138,241.08 = 54,847.14 : x
  2. Step 2: Convert to fraction form
    100,171.86/138,241.08 = 54,847.14/x
  3. Step 3: Cross multiply
    100,171.86x = 138,241.08 × 54,847.14
  4. Step 4: Simplify right side
    100,171.86x = 7,582,127,868.51
  5. Step 5: Solve for x
    x = 7,582,127,868.51/100,171.86
  6. Step 6: Final answer
    x = 75,691.20

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1.5x scale

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.