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Finding the Fourth Proportional to 275,164.86, 412,747.38 and 181,648.74

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Solution

The fourth proportional to 275,164.86, 412,747.38 and 181,648.74 is: 272,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,164.86 : 412,747.38 = 181,648.74 : x
  2. Step 2: Convert to fraction form
    275,164.86/412,747.38 = 181,648.74/x
  3. Step 3: Cross multiply
    275,164.86x = 412,747.38 × 181,648.74
  4. Step 4: Simplify right side
    275,164.86x = 74,975,041,515.30
  5. Step 5: Solve for x
    x = 74,975,041,515.30/275,164.86
  6. Step 6: Final answer
    x = 272,473.17

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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.