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Finding the Fourth Proportional to 78,166.32, 117,249.54 and 54,896.64

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Solution

The fourth proportional to 78,166.32, 117,249.54 and 54,896.64 is: 82,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166.32 : 117,249.54 = 54,896.64 : x
  2. Step 2: Convert to fraction form
    78,166.32/117,249.54 = 54,896.64/x
  3. Step 3: Cross multiply
    78,166.32x = 117,249.54 × 54,896.64
  4. Step 4: Simplify right side
    78,166.32x = 6,436,605,787.55
  5. Step 5: Solve for x
    x = 6,436,605,787.55/78,166.32
  6. Step 6: Final answer
    x = 82,345.00

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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.