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Finding the Fourth Proportional to 269,020.80, 403,498.80 and 111,232.80

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Solution

The fourth proportional to 269,020.80, 403,498.80 and 111,232.80 is: 166,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,020.80 : 403,498.80 = 111,232.80 : x
  2. Step 2: Convert to fraction form
    269,020.80/403,498.80 = 111,232.80/x
  3. Step 3: Cross multiply
    269,020.80x = 403,498.80 × 111,232.80
  4. Step 4: Simplify right side
    269,020.80x = 44,882,301,320.64
  5. Step 5: Solve for x
    x = 44,882,301,320.64/269,020.80
  6. Step 6: Final answer
    x = 166,835.80

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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.