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Finding the Fourth Proportional to 269,777.52, 404,668.80 and 119,977.20

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Solution

The fourth proportional to 269,777.52, 404,668.80 and 119,977.20 is: 179,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,777.52 : 404,668.80 = 119,977.20 : x
  2. Step 2: Convert to fraction form
    269,777.52/404,668.80 = 119,977.20/x
  3. Step 3: Cross multiply
    269,777.52x = 404,668.80 × 119,977.20
  4. Step 4: Simplify right side
    269,777.52x = 48,551,029,551.36
  5. Step 5: Solve for x
    x = 48,551,029,551.36/269,777.52
  6. Step 6: Final answer
    x = 179,966.92

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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.