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Finding the Fourth Proportional to 204,878.95, 282,712.29 and 114,226.39

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Solution

The fourth proportional to 204,878.95, 282,712.29 and 114,226.39 is: 157,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,878.95 : 282,712.29 = 114,226.39 : x
  2. Step 2: Convert to fraction form
    204,878.95/282,712.29 = 114,226.39/x
  3. Step 3: Cross multiply
    204,878.95x = 282,712.29 × 114,226.39
  4. Step 4: Simplify right side
    204,878.95x = 32,293,204,295.33
  5. Step 5: Solve for x
    x = 32,293,204,295.33/204,878.95
  6. Step 6: Final answer
    x = 157,620.90

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1.5x scale

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.