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Finding the Fourth Proportional to 193,027.80, 288,927.30 and 137,731.80

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Solution

The fourth proportional to 193,027.80, 288,927.30 and 137,731.80 is: 206,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,027.80 : 288,927.30 = 137,731.80 : x
  2. Step 2: Convert to fraction form
    193,027.80/288,927.30 = 137,731.80/x
  3. Step 3: Cross multiply
    193,027.80x = 288,927.30 × 137,731.80
  4. Step 4: Simplify right side
    193,027.80x = 39,794,477,098.14
  5. Step 5: Solve for x
    x = 39,794,477,098.14/193,027.80
  6. Step 6: Final answer
    x = 206,159.31

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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.