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Finding the Fourth Proportional to 223,846.75, 309,170.96 and 148,264.03

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Solution

The fourth proportional to 223,846.75, 309,170.96 and 148,264.03 is: 204,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,846.75 : 309,170.96 = 148,264.03 : x
  2. Step 2: Convert to fraction form
    223,846.75/309,170.96 = 148,264.03/x
  3. Step 3: Cross multiply
    223,846.75x = 309,170.96 × 148,264.03
  4. Step 4: Simplify right side
    223,846.75x = 45,838,932,488.57
  5. Step 5: Solve for x
    x = 45,838,932,488.57/223,846.75
  6. Step 6: Final answer
    x = 204,778.19

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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.