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Finding the Fourth Proportional to 209,248.73, 288,750.98 and 113,754.59

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Solution

The fourth proportional to 209,248.73, 288,750.98 and 113,754.59 is: 156,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,248.73 : 288,750.98 = 113,754.59 : x
  2. Step 2: Convert to fraction form
    209,248.73/288,750.98 = 113,754.59/x
  3. Step 3: Cross multiply
    209,248.73x = 288,750.98 × 113,754.59
  4. Step 4: Simplify right side
    209,248.73x = 32,846,747,329.47
  5. Step 5: Solve for x
    x = 32,846,747,329.47/209,248.73
  6. Step 6: Final answer
    x = 156,974.66

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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.