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Finding the Fourth Proportional to 78,116.52, 117,212.01 and 54,137.86

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Solution

The fourth proportional to 78,116.52, 117,212.01 and 54,137.86 is: 81,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,116.52 : 117,212.01 = 54,137.86 : x
  2. Step 2: Convert to fraction form
    78,116.52/117,212.01 = 54,137.86/x
  3. Step 3: Cross multiply
    78,116.52x = 117,212.01 × 54,137.86
  4. Step 4: Simplify right side
    78,116.52x = 6,345,607,416.35
  5. Step 5: Solve for x
    x = 6,345,607,416.35/78,116.52
  6. Step 6: Final answer
    x = 81,232.59

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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.