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Finding the Fourth Proportional to 199,664.52, 275,534.92 and 109,020.20

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Solution

The fourth proportional to 199,664.52, 275,534.92 and 109,020.20 is: 150,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,664.52 : 275,534.92 = 109,020.20 : x
  2. Step 2: Convert to fraction form
    199,664.52/275,534.92 = 109,020.20/x
  3. Step 3: Cross multiply
    199,664.52x = 275,534.92 × 109,020.20
  4. Step 4: Simplify right side
    199,664.52x = 30,038,872,085.38
  5. Step 5: Solve for x
    x = 30,038,872,085.38/199,664.52
  6. Step 6: Final answer
    x = 150,446.72

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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.