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Finding the Fourth Proportional to 185,781.82, 278,779.98 and 100,392.97

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Solution

The fourth proportional to 185,781.82, 278,779.98 and 100,392.97 is: 150,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,781.82 : 278,779.98 = 100,392.97 : x
  2. Step 2: Convert to fraction form
    185,781.82/278,779.98 = 100,392.97/x
  3. Step 3: Cross multiply
    185,781.82x = 278,779.98 × 100,392.97
  4. Step 4: Simplify right side
    185,781.82x = 27,987,550,168.74
  5. Step 5: Solve for x
    x = 27,987,550,168.74/185,781.82
  6. Step 6: Final answer
    x = 150,647.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.