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Finding the Fourth Proportional to 269,164.80, 403,552.80 and 150,872.40

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Solution

The fourth proportional to 269,164.80, 403,552.80 and 150,872.40 is: 226,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,164.80 : 403,552.80 = 150,872.40 : x
  2. Step 2: Convert to fraction form
    269,164.80/403,552.80 = 150,872.40/x
  3. Step 3: Cross multiply
    269,164.80x = 403,552.80 × 150,872.40
  4. Step 4: Simplify right side
    269,164.80x = 60,884,979,462.72
  5. Step 5: Solve for x
    x = 60,884,979,462.72/269,164.80
  6. Step 6: Final answer
    x = 226,199.63

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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.