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Finding the Fourth Proportional to 113,992.74, 170,992.01 and 54,007.16

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Solution

The fourth proportional to 113,992.74, 170,992.01 and 54,007.16 is: 81,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,992.74 : 170,992.01 = 54,007.16 : x
  2. Step 2: Convert to fraction form
    113,992.74/170,992.01 = 54,007.16/x
  3. Step 3: Cross multiply
    113,992.74x = 170,992.01 × 54,007.16
  4. Step 4: Simplify right side
    113,992.74x = 9,234,792,122.85
  5. Step 5: Solve for x
    x = 9,234,792,122.85/113,992.74
  6. Step 6: Final answer
    x = 81,012.11

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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.