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Finding the Fourth Proportional to 205,700.28, 308,617.38 and 93,367.32

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Solution

The fourth proportional to 205,700.28, 308,617.38 and 93,367.32 is: 140,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,700.28 : 308,617.38 = 93,367.32 : x
  2. Step 2: Convert to fraction form
    205,700.28/308,617.38 = 93,367.32/x
  3. Step 3: Cross multiply
    205,700.28x = 308,617.38 × 93,367.32
  4. Step 4: Simplify right side
    205,700.28x = 28,814,777,676.02
  5. Step 5: Solve for x
    x = 28,814,777,676.02/205,700.28
  6. Step 6: Final answer
    x = 140,081.37

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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.