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Finding the Fourth Proportional to 205,700.31, 308,589.08 and 93,388.41

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Solution

The fourth proportional to 205,700.31, 308,589.08 and 93,388.41 is: 140,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,700.31 : 308,589.08 = 93,388.41 : x
  2. Step 2: Convert to fraction form
    205,700.31/308,589.08 = 93,388.41/x
  3. Step 3: Cross multiply
    205,700.31x = 308,589.08 × 93,388.41
  4. Step 4: Simplify right side
    205,700.31x = 28,818,643,057.62
  5. Step 5: Solve for x
    x = 28,818,643,057.62/205,700.31
  6. Step 6: Final answer
    x = 140,100.14

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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.