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Finding the Fourth Proportional to 199,489.96, 275,047.14 and 127,752.04

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Solution

The fourth proportional to 199,489.96, 275,047.14 and 127,752.04 is: 176,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,489.96 : 275,047.14 = 127,752.04 : x
  2. Step 2: Convert to fraction form
    199,489.96/275,047.14 = 127,752.04/x
  3. Step 3: Cross multiply
    199,489.96x = 275,047.14 × 127,752.04
  4. Step 4: Simplify right side
    199,489.96x = 35,137,833,231.17
  5. Step 5: Solve for x
    x = 35,137,833,231.17/199,489.96
  6. Step 6: Final answer
    x = 176,138.35

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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.