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Finding the Fourth Proportional to 269,586.90, 404,234.55 and 111,831.30

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Solution

The fourth proportional to 269,586.90, 404,234.55 and 111,831.30 is: 167,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,586.90 : 404,234.55 = 111,831.30 : x
  2. Step 2: Convert to fraction form
    269,586.90/404,234.55 = 111,831.30/x
  3. Step 3: Cross multiply
    269,586.90x = 404,234.55 × 111,831.30
  4. Step 4: Simplify right side
    269,586.90x = 45,206,075,231.42
  5. Step 5: Solve for x
    x = 45,206,075,231.42/269,586.90
  6. Step 6: Final answer
    x = 167,686.47

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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.