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Finding the Fourth Proportional to 100,100.40, 138,138.55 and 54,778.40

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Solution

The fourth proportional to 100,100.40, 138,138.55 and 54,778.40 is: 75,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100.40 : 138,138.55 = 54,778.40 : x
  2. Step 2: Convert to fraction form
    100,100.40/138,138.55 = 54,778.40/x
  3. Step 3: Cross multiply
    100,100.40x = 138,138.55 × 54,778.40
  4. Step 4: Simplify right side
    100,100.40x = 7,567,008,747.32
  5. Step 5: Solve for x
    x = 7,567,008,747.32/100,100.40
  6. Step 6: Final answer
    x = 75,594.19

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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.