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Finding the Fourth Proportional to 204,987.60, 282,775.32 and 166,789.80

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Solution

The fourth proportional to 204,987.60, 282,775.32 and 166,789.80 is: 230,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,987.60 : 282,775.32 = 166,789.80 : x
  2. Step 2: Convert to fraction form
    204,987.60/282,775.32 = 166,789.80/x
  3. Step 3: Cross multiply
    204,987.60x = 282,775.32 × 166,789.80
  4. Step 4: Simplify right side
    204,987.60x = 47,164,039,067.74
  5. Step 5: Solve for x
    x = 47,164,039,067.74/204,987.60
  6. Step 6: Final answer
    x = 230,082.40

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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.