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Finding the Fourth Proportional to 208,982.40, 288,394.80 and 113,488.32

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Solution

The fourth proportional to 208,982.40, 288,394.80 and 113,488.32 is: 156,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,982.40 : 288,394.80 = 113,488.32 : x
  2. Step 2: Convert to fraction form
    208,982.40/288,394.80 = 113,488.32/x
  3. Step 3: Cross multiply
    208,982.40x = 288,394.80 × 113,488.32
  4. Step 4: Simplify right side
    208,982.40x = 32,729,441,348.74
  5. Step 5: Solve for x
    x = 32,729,441,348.74/208,982.40
  6. Step 6: Final answer
    x = 156,613.39

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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.