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Finding the Fourth Proportional to 204,843.10, 307,264.65 and 125,700.70

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Solution

The fourth proportional to 204,843.10, 307,264.65 and 125,700.70 is: 188,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,843.10 : 307,264.65 = 125,700.70 : x
  2. Step 2: Convert to fraction form
    204,843.10/307,264.65 = 125,700.70/x
  3. Step 3: Cross multiply
    204,843.10x = 307,264.65 × 125,700.70
  4. Step 4: Simplify right side
    204,843.10x = 38,623,381,590.26
  5. Step 5: Solve for x
    x = 38,623,381,590.26/204,843.10
  6. Step 6: Final answer
    x = 188,551.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.