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Finding the Fourth Proportional to 272,662.83, 409,113.32 and 95,297.13

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Solution

The fourth proportional to 272,662.83, 409,113.32 and 95,297.13 is: 142,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,662.83 : 409,113.32 = 95,297.13 : x
  2. Step 2: Convert to fraction form
    272,662.83/409,113.32 = 95,297.13/x
  3. Step 3: Cross multiply
    272,662.83x = 409,113.32 × 95,297.13
  4. Step 4: Simplify right side
    272,662.83x = 38,987,324,764.29
  5. Step 5: Solve for x
    x = 38,987,324,764.29/272,662.83
  6. Step 6: Final answer
    x = 142,987.31

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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.