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Finding the Fourth Proportional to 204,967, 282,854.46 and 115,543

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Solution

The fourth proportional to 204,967, 282,854.46 and 115,543 is: 159,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,967 : 282,854.46 = 115,543 : x
  2. Step 2: Convert to fraction form
    204,967/282,854.46 = 115,543/x
  3. Step 3: Cross multiply
    204,967x = 282,854.46 × 115,543
  4. Step 4: Simplify right side
    204,967x = 32,681,852,871.78
  5. Step 5: Solve for x
    x = 32,681,852,871.78/204,967
  6. Step 6: Final answer
    x = 159,449.34

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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.