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Finding the Fourth Proportional to 199,387.14, 275,146.65 and 109,963.14

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Solution

The fourth proportional to 199,387.14, 275,146.65 and 109,963.14 is: 151,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,387.14 : 275,146.65 = 109,963.14 : x
  2. Step 2: Convert to fraction form
    199,387.14/275,146.65 = 109,963.14/x
  3. Step 3: Cross multiply
    199,387.14x = 275,146.65 × 109,963.14
  4. Step 4: Simplify right side
    199,387.14x = 30,255,989,594.48
  5. Step 5: Solve for x
    x = 30,255,989,594.48/199,387.14
  6. Step 6: Final answer
    x = 151,744.94

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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.