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Finding the Fourth Proportional to 268,876.80, 403,315.20 and 111,412.80

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Solution

The fourth proportional to 268,876.80, 403,315.20 and 111,412.80 is: 167,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,876.80 : 403,315.20 = 111,412.80 : x
  2. Step 2: Convert to fraction form
    268,876.80/403,315.20 = 111,412.80/x
  3. Step 3: Cross multiply
    268,876.80x = 403,315.20 × 111,412.80
  4. Step 4: Simplify right side
    268,876.80x = 44,934,475,714.56
  5. Step 5: Solve for x
    x = 44,934,475,714.56/268,876.80
  6. Step 6: Final answer
    x = 167,119.20

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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.