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Finding the Fourth Proportional to 209,126.49, 288,593.94 and 113,633.16

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Solution

The fourth proportional to 209,126.49, 288,593.94 and 113,633.16 is: 156,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,126.49 : 288,593.94 = 113,633.16 : x
  2. Step 2: Convert to fraction form
    209,126.49/288,593.94 = 113,633.16/x
  3. Step 3: Cross multiply
    209,126.49x = 288,593.94 × 113,633.16
  4. Step 4: Simplify right side
    209,126.49x = 32,793,841,359.05
  5. Step 5: Solve for x
    x = 32,793,841,359.05/209,126.49
  6. Step 6: Final answer
    x = 156,813.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.