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Finding the Fourth Proportional to 83,496.08, 114,519.10 and 78,977.36

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Solution

The fourth proportional to 83,496.08, 114,519.10 and 78,977.36 is: 108,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,496.08 : 114,519.10 = 78,977.36 : x
  2. Step 2: Convert to fraction form
    83,496.08/114,519.10 = 78,977.36/x
  3. Step 3: Cross multiply
    83,496.08x = 114,519.10 × 78,977.36
  4. Step 4: Simplify right side
    83,496.08x = 9,044,416,187.58
  5. Step 5: Solve for x
    x = 9,044,416,187.58/83,496.08
  6. Step 6: Final answer
    x = 108,321.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.