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Finding the Fourth Proportional to 78,368.80, 117,553.20 and 54,749.20

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Solution

The fourth proportional to 78,368.80, 117,553.20 and 54,749.20 is: 82,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.80 : 117,553.20 = 54,749.20 : x
  2. Step 2: Convert to fraction form
    78,368.80/117,553.20 = 54,749.20/x
  3. Step 3: Cross multiply
    78,368.80x = 117,553.20 × 54,749.20
  4. Step 4: Simplify right side
    78,368.80x = 6,435,943,657.44
  5. Step 5: Solve for x
    x = 6,435,943,657.44/78,368.80
  6. Step 6: Final answer
    x = 82,123.80

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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.