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Finding the Fourth Proportional to 209,257.56, 288,778.56 and 113,764.04

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Solution

The fourth proportional to 209,257.56, 288,778.56 and 113,764.04 is: 156,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257.56 : 288,778.56 = 113,764.04 : x
  2. Step 2: Convert to fraction form
    209,257.56/288,778.56 = 113,764.04/x
  3. Step 3: Cross multiply
    209,257.56x = 288,778.56 × 113,764.04
  4. Step 4: Simplify right side
    209,257.56x = 32,852,615,650.98
  5. Step 5: Solve for x
    x = 32,852,615,650.98/209,257.56
  6. Step 6: Final answer
    x = 156,996.08

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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.