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Finding the Fourth Proportional to 223,020.28, 307,774.02 and 126,217

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Solution

The fourth proportional to 223,020.28, 307,774.02 and 126,217 is: 174,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,020.28 : 307,774.02 = 126,217 : x
  2. Step 2: Convert to fraction form
    223,020.28/307,774.02 = 126,217/x
  3. Step 3: Cross multiply
    223,020.28x = 307,774.02 × 126,217
  4. Step 4: Simplify right side
    223,020.28x = 38,846,313,482.34
  5. Step 5: Solve for x
    x = 38,846,313,482.34/223,020.28
  6. Step 6: Final answer
    x = 174,182.87

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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.