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Finding the Fourth Proportional to 269,248.80, 403,840.80 and 111,460.80

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Solution

The fourth proportional to 269,248.80, 403,840.80 and 111,460.80 is: 167,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,248.80 : 403,840.80 = 111,460.80 : x
  2. Step 2: Convert to fraction form
    269,248.80/403,840.80 = 111,460.80/x
  3. Step 3: Cross multiply
    269,248.80x = 403,840.80 × 111,460.80
  4. Step 4: Simplify right side
    269,248.80x = 45,012,418,640.64
  5. Step 5: Solve for x
    x = 45,012,418,640.64/269,248.80
  6. Step 6: Final answer
    x = 167,177.79

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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.