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Finding the Fourth Proportional to 100,404.68, 138,557.16 and 57,383.78

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Solution

The fourth proportional to 100,404.68, 138,557.16 and 57,383.78 is: 79,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404.68 : 138,557.16 = 57,383.78 : x
  2. Step 2: Convert to fraction form
    100,404.68/138,557.16 = 57,383.78/x
  3. Step 3: Cross multiply
    100,404.68x = 138,557.16 × 57,383.78
  4. Step 4: Simplify right side
    100,404.68x = 7,950,933,586.86
  5. Step 5: Solve for x
    x = 7,950,933,586.86/100,404.68
  6. Step 6: Final answer
    x = 79,188.87

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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.