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Finding the Fourth Proportional to 209,253.88, 288,773.64 and 113,760.94

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Solution

The fourth proportional to 209,253.88, 288,773.64 and 113,760.94 is: 156,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,253.88 : 288,773.64 = 113,760.94 : x
  2. Step 2: Convert to fraction form
    209,253.88/288,773.64 = 113,760.94/x
  3. Step 3: Cross multiply
    209,253.88x = 288,773.64 × 113,760.94
  4. Step 4: Simplify right side
    209,253.88x = 32,851,160,733.62
  5. Step 5: Solve for x
    x = 32,851,160,733.62/209,253.88
  6. Step 6: Final answer
    x = 156,991.88

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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.