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Finding the Fourth Proportional to 268,833.74, 370,987.73 and 147,972.42

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Solution

The fourth proportional to 268,833.74, 370,987.73 and 147,972.42 is: 204,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,833.74 : 370,987.73 = 147,972.42 : x
  2. Step 2: Convert to fraction form
    268,833.74/370,987.73 = 147,972.42/x
  3. Step 3: Cross multiply
    268,833.74x = 370,987.73 × 147,972.42
  4. Step 4: Simplify right side
    268,833.74x = 54,895,952,013.44
  5. Step 5: Solve for x
    x = 54,895,952,013.44/268,833.74
  6. Step 6: Final answer
    x = 204,200.38

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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.