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Finding the Fourth Proportional to 198,633, 274,177.38 and 127,205.48

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Solution

The fourth proportional to 198,633, 274,177.38 and 127,205.48 is: 175,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,633 : 274,177.38 = 127,205.48 : x
  2. Step 2: Convert to fraction form
    198,633/274,177.38 = 127,205.48/x
  3. Step 3: Cross multiply
    198,633x = 274,177.38 × 127,205.48
  4. Step 4: Simplify right side
    198,633x = 34,876,865,228.04
  5. Step 5: Solve for x
    x = 34,876,865,228.04/198,633
  6. Step 6: Final answer
    x = 175,584.45

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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.