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Finding the Fourth Proportional to 186,883.66, 257,902.14 and 101,998.90

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Solution

The fourth proportional to 186,883.66, 257,902.14 and 101,998.90 is: 140,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,883.66 : 257,902.14 = 101,998.90 : x
  2. Step 2: Convert to fraction form
    186,883.66/257,902.14 = 101,998.90/x
  3. Step 3: Cross multiply
    186,883.66x = 257,902.14 × 101,998.90
  4. Step 4: Simplify right side
    186,883.66x = 26,305,734,587.65
  5. Step 5: Solve for x
    x = 26,305,734,587.65/186,883.66
  6. Step 6: Final answer
    x = 140,759.95

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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.