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Finding the Fourth Proportional to 237,596.80, 356,107.20 and 137,564.80

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Solution

The fourth proportional to 237,596.80, 356,107.20 and 137,564.80 is: 206,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,596.80 : 356,107.20 = 137,564.80 : x
  2. Step 2: Convert to fraction form
    237,596.80/356,107.20 = 137,564.80/x
  3. Step 3: Cross multiply
    237,596.80x = 356,107.20 × 137,564.80
  4. Step 4: Simplify right side
    237,596.80x = 48,987,815,746.56
  5. Step 5: Solve for x
    x = 48,987,815,746.56/237,596.80
  6. Step 6: Final answer
    x = 206,180.45

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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.