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Finding the Fourth Proportional to 100,142.44, 138,195.30 and 60,398.44

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Solution

The fourth proportional to 100,142.44, 138,195.30 and 60,398.44 is: 83,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142.44 : 138,195.30 = 60,398.44 : x
  2. Step 2: Convert to fraction form
    100,142.44/138,195.30 = 60,398.44/x
  3. Step 3: Cross multiply
    100,142.44x = 138,195.30 × 60,398.44
  4. Step 4: Simplify right side
    100,142.44x = 8,346,780,535.33
  5. Step 5: Solve for x
    x = 8,346,780,535.33/100,142.44
  6. Step 6: Final answer
    x = 83,349.08

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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.