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Finding the Fourth Proportional to 269,878.68, 404,958.10 and 110,071.84

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Solution

The fourth proportional to 269,878.68, 404,958.10 and 110,071.84 is: 165,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,878.68 : 404,958.10 = 110,071.84 : x
  2. Step 2: Convert to fraction form
    269,878.68/404,958.10 = 110,071.84/x
  3. Step 3: Cross multiply
    269,878.68x = 404,958.10 × 110,071.84
  4. Step 4: Simplify right side
    269,878.68x = 44,574,483,189.90
  5. Step 5: Solve for x
    x = 44,574,483,189.90/269,878.68
  6. Step 6: Final answer
    x = 165,164.89

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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.