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Finding the Fourth Proportional to 209,356.71, 288,903.96 and 113,863.38

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Solution

The fourth proportional to 209,356.71, 288,903.96 and 113,863.38 is: 157,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,356.71 : 288,903.96 = 113,863.38 : x
  2. Step 2: Convert to fraction form
    209,356.71/288,903.96 = 113,863.38/x
  3. Step 3: Cross multiply
    209,356.71x = 288,903.96 × 113,863.38
  4. Step 4: Simplify right side
    209,356.71x = 32,895,581,380.98
  5. Step 5: Solve for x
    x = 32,895,581,380.98/209,356.71
  6. Step 6: Final answer
    x = 157,126.95

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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.