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Finding the Fourth Proportional to 205,062.84, 282,826.49 and 182,115.74

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Solution

The fourth proportional to 205,062.84, 282,826.49 and 182,115.74 is: 251,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,062.84 : 282,826.49 = 182,115.74 : x
  2. Step 2: Convert to fraction form
    205,062.84/282,826.49 = 182,115.74/x
  3. Step 3: Cross multiply
    205,062.84x = 282,826.49 × 182,115.74
  4. Step 4: Simplify right side
    205,062.84x = 51,507,155,314.44
  5. Step 5: Solve for x
    x = 51,507,155,314.44/205,062.84
  6. Step 6: Final answer
    x = 251,177.42

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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.