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Finding the Fourth Proportional to 156,217.36, 234,168.24 and 61,514

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Solution

The fourth proportional to 156,217.36, 234,168.24 and 61,514 is: 92,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,217.36 : 234,168.24 = 61,514 : x
  2. Step 2: Convert to fraction form
    156,217.36/234,168.24 = 61,514/x
  3. Step 3: Cross multiply
    156,217.36x = 234,168.24 × 61,514
  4. Step 4: Simplify right side
    156,217.36x = 14,404,625,115.36
  5. Step 5: Solve for x
    x = 14,404,625,115.36/156,217.36
  6. Step 6: Final answer
    x = 92,208.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.