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Finding the Fourth Proportional to 208,873.46, 288,245.70 and 113,380.12

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Solution

The fourth proportional to 208,873.46, 288,245.70 and 113,380.12 is: 156,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,873.46 : 288,245.70 = 113,380.12 : x
  2. Step 2: Convert to fraction form
    208,873.46/288,245.70 = 113,380.12/x
  3. Step 3: Cross multiply
    208,873.46x = 288,245.70 × 113,380.12
  4. Step 4: Simplify right side
    208,873.46x = 32,681,332,055.48
  5. Step 5: Solve for x
    x = 32,681,332,055.48/208,873.46
  6. Step 6: Final answer
    x = 156,464.74

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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.