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Finding the Fourth Proportional to 205,333, 308,122.38 and 88,597

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Solution

The fourth proportional to 205,333, 308,122.38 and 88,597 is: 132,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,333 : 308,122.38 = 88,597 : x
  2. Step 2: Convert to fraction form
    205,333/308,122.38 = 88,597/x
  3. Step 3: Cross multiply
    205,333x = 308,122.38 × 88,597
  4. Step 4: Simplify right side
    205,333x = 27,298,718,500.86
  5. Step 5: Solve for x
    x = 27,298,718,500.86/205,333
  6. Step 6: Final answer
    x = 132,948.52

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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.