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Finding the Fourth Proportional to 223,847.17, 308,920.50 and 127,057.84

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Solution

The fourth proportional to 223,847.17, 308,920.50 and 127,057.84 is: 175,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,847.17 : 308,920.50 = 127,057.84 : x
  2. Step 2: Convert to fraction form
    223,847.17/308,920.50 = 127,057.84/x
  3. Step 3: Cross multiply
    223,847.17x = 308,920.50 × 127,057.84
  4. Step 4: Simplify right side
    223,847.17x = 39,250,770,689.42
  5. Step 5: Solve for x
    x = 39,250,770,689.42/223,847.17
  6. Step 6: Final answer
    x = 175,346.29

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Why These Related Problems?

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