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Finding the Fourth Proportional to 87,175.64, 120,257.76 and 56,978.66

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Solution

The fourth proportional to 87,175.64, 120,257.76 and 56,978.66 is: 78,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,175.64 : 120,257.76 = 56,978.66 : x
  2. Step 2: Convert to fraction form
    87,175.64/120,257.76 = 56,978.66/x
  3. Step 3: Cross multiply
    87,175.64x = 120,257.76 × 56,978.66
  4. Step 4: Simplify right side
    87,175.64x = 6,852,126,019.40
  5. Step 5: Solve for x
    x = 6,852,126,019.40/87,175.64
  6. Step 6: Final answer
    x = 78,601.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.