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Finding the Fourth Proportional to 269,858.88, 404,714.40 and 101,366.16

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Solution

The fourth proportional to 269,858.88, 404,714.40 and 101,366.16 is: 152,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,858.88 : 404,714.40 = 101,366.16 : x
  2. Step 2: Convert to fraction form
    269,858.88/404,714.40 = 101,366.16/x
  3. Step 3: Cross multiply
    269,858.88x = 404,714.40 × 101,366.16
  4. Step 4: Simplify right side
    269,858.88x = 41,024,344,624.70
  5. Step 5: Solve for x
    x = 41,024,344,624.70/269,858.88
  6. Step 6: Final answer
    x = 152,021.47

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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.