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Finding the Fourth Proportional to 179,592, 269,398.80 and 54,934.08

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Solution

The fourth proportional to 179,592, 269,398.80 and 54,934.08 is: 82,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,592 : 269,398.80 = 54,934.08 : x
  2. Step 2: Convert to fraction form
    179,592/269,398.80 = 54,934.08/x
  3. Step 3: Cross multiply
    179,592x = 269,398.80 × 54,934.08
  4. Step 4: Simplify right side
    179,592x = 14,799,175,231.10
  5. Step 5: Solve for x
    x = 14,799,175,231.10/179,592
  6. Step 6: Final answer
    x = 82,404.42

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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.