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Finding the Fourth Proportional to 269,461.40, 404,337.90 and 111,705.80

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Solution

The fourth proportional to 269,461.40, 404,337.90 and 111,705.80 is: 167,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,461.40 : 404,337.90 = 111,705.80 : x
  2. Step 2: Convert to fraction form
    269,461.40/404,337.90 = 111,705.80/x
  3. Step 3: Cross multiply
    269,461.40x = 404,337.90 × 111,705.80
  4. Step 4: Simplify right side
    269,461.40x = 45,166,888,589.82
  5. Step 5: Solve for x
    x = 45,166,888,589.82/269,461.40
  6. Step 6: Final answer
    x = 167,619.14

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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.