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Finding the Fourth Proportional to 209,211.44, 288,713.72 and 113,718.36

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Solution

The fourth proportional to 209,211.44, 288,713.72 and 113,718.36 is: 156,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,211.44 : 288,713.72 = 113,718.36 : x
  2. Step 2: Convert to fraction form
    209,211.44/288,713.72 = 113,718.36/x
  3. Step 3: Cross multiply
    209,211.44x = 288,713.72 × 113,718.36
  4. Step 4: Simplify right side
    209,211.44x = 32,832,050,747.90
  5. Step 5: Solve for x
    x = 32,832,050,747.90/209,211.44
  6. Step 6: Final answer
    x = 156,932.39

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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.