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Finding the Fourth Proportional to 217,067.60, 325,601.40 and 146,208.80

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Solution

The fourth proportional to 217,067.60, 325,601.40 and 146,208.80 is: 219,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,067.60 : 325,601.40 = 146,208.80 : x
  2. Step 2: Convert to fraction form
    217,067.60/325,601.40 = 146,208.80/x
  3. Step 3: Cross multiply
    217,067.60x = 325,601.40 × 146,208.80
  4. Step 4: Simplify right side
    217,067.60x = 47,605,789,972.32
  5. Step 5: Solve for x
    x = 47,605,789,972.32/217,067.60
  6. Step 6: Final answer
    x = 219,313.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.