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Finding the Fourth Proportional to 117,647.78, 176,327.15 and 54,382.32

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Solution

The fourth proportional to 117,647.78, 176,327.15 and 54,382.32 is: 81,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,647.78 : 176,327.15 = 54,382.32 : x
  2. Step 2: Convert to fraction form
    117,647.78/176,327.15 = 54,382.32/x
  3. Step 3: Cross multiply
    117,647.78x = 176,327.15 × 54,382.32
  4. Step 4: Simplify right side
    117,647.78x = 9,589,079,224.08
  5. Step 5: Solve for x
    x = 9,589,079,224.08/117,647.78
  6. Step 6: Final answer
    x = 81,506.68

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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.