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Finding the Fourth Proportional to 117,122.92, 175,684.62 and 54,837.16

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Solution

The fourth proportional to 117,122.92, 175,684.62 and 54,837.16 is: 82,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,122.92 : 175,684.62 = 54,837.16 : x
  2. Step 2: Convert to fraction form
    117,122.92/175,684.62 = 54,837.16/x
  3. Step 3: Cross multiply
    117,122.92x = 175,684.62 × 54,837.16
  4. Step 4: Simplify right side
    117,122.92x = 9,634,045,616.48
  5. Step 5: Solve for x
    x = 9,634,045,616.48/117,122.92
  6. Step 6: Final answer
    x = 82,255.85

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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.