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Finding the Fourth Proportional to 354,175.20, 531,214.20 and 117,493.20

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Solution

The fourth proportional to 354,175.20, 531,214.20 and 117,493.20 is: 176,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,175.20 : 531,214.20 = 117,493.20 : x
  2. Step 2: Convert to fraction form
    354,175.20/531,214.20 = 117,493.20/x
  3. Step 3: Cross multiply
    354,175.20x = 531,214.20 × 117,493.20
  4. Step 4: Simplify right side
    354,175.20x = 62,414,056,243.44
  5. Step 5: Solve for x
    x = 62,414,056,243.44/354,175.20
  6. Step 6: Final answer
    x = 176,223.68

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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.