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Finding the Fourth Proportional to 100,181.78, 138,250.89 and 54,862.58

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Solution

The fourth proportional to 100,181.78, 138,250.89 and 54,862.58 is: 75,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,181.78 : 138,250.89 = 54,862.58 : x
  2. Step 2: Convert to fraction form
    100,181.78/138,250.89 = 54,862.58/x
  3. Step 3: Cross multiply
    100,181.78x = 138,250.89 × 54,862.58
  4. Step 4: Simplify right side
    100,181.78x = 7,584,800,649.85
  5. Step 5: Solve for x
    x = 7,584,800,649.85/100,181.78
  6. Step 6: Final answer
    x = 75,710.38

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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.