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Finding the Fourth Proportional to 205,526.26, 308,079.26 and 116,591.90

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Solution

The fourth proportional to 205,526.26, 308,079.26 and 116,591.90 is: 174,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,526.26 : 308,079.26 = 116,591.90 : x
  2. Step 2: Convert to fraction form
    205,526.26/308,079.26 = 116,591.90/x
  3. Step 3: Cross multiply
    205,526.26x = 308,079.26 × 116,591.90
  4. Step 4: Simplify right side
    205,526.26x = 35,919,545,691.03
  5. Step 5: Solve for x
    x = 35,919,545,691.03/205,526.26
  6. Step 6: Final answer
    x = 174,768.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.