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Finding the Fourth Proportional to 268,000.97, 369,842.06 and 147,150.08

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Solution

The fourth proportional to 268,000.97, 369,842.06 and 147,150.08 is: 203,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,000.97 : 369,842.06 = 147,150.08 : x
  2. Step 2: Convert to fraction form
    268,000.97/369,842.06 = 147,150.08/x
  3. Step 3: Cross multiply
    268,000.97x = 369,842.06 × 147,150.08
  4. Step 4: Simplify right side
    268,000.97x = 54,422,288,716.36
  5. Step 5: Solve for x
    x = 54,422,288,716.36/268,000.97
  6. Step 6: Final answer
    x = 203,067.51

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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.