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Finding the Fourth Proportional to 145,167.31, 217,782.08 and 50,400.48

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Solution

The fourth proportional to 145,167.31, 217,782.08 and 50,400.48 is: 75,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,167.31 : 217,782.08 = 50,400.48 : x
  2. Step 2: Convert to fraction form
    145,167.31/217,782.08 = 50,400.48/x
  3. Step 3: Cross multiply
    145,167.31x = 217,782.08 × 50,400.48
  4. Step 4: Simplify right side
    145,167.31x = 10,976,321,367.40
  5. Step 5: Solve for x
    x = 10,976,321,367.40/145,167.31
  6. Step 6: Final answer
    x = 75,611.52

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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.