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Finding the Fourth Proportional to 235,807.71, 325,630.78 and 149,794.42

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Solution

The fourth proportional to 235,807.71, 325,630.78 and 149,794.42 is: 206,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,807.71 : 325,630.78 = 149,794.42 : x
  2. Step 2: Convert to fraction form
    235,807.71/325,630.78 = 149,794.42/x
  3. Step 3: Cross multiply
    235,807.71x = 325,630.78 × 149,794.42
  4. Step 4: Simplify right side
    235,807.71x = 48,777,672,196.09
  5. Step 5: Solve for x
    x = 48,777,672,196.09/235,807.71
  6. Step 6: Final answer
    x = 206,853.59

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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.