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Finding the Fourth Proportional to 193,025.80, 288,924.30 and 137,729.80

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Solution

The fourth proportional to 193,025.80, 288,924.30 and 137,729.80 is: 206,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,025.80 : 288,924.30 = 137,729.80 : x
  2. Step 2: Convert to fraction form
    193,025.80/288,924.30 = 137,729.80/x
  3. Step 3: Cross multiply
    193,025.80x = 288,924.30 × 137,729.80
  4. Step 4: Simplify right side
    193,025.80x = 39,793,486,054.14
  5. Step 5: Solve for x
    x = 39,793,486,054.14/193,025.80
  6. Step 6: Final answer
    x = 206,156.31

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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.