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Finding the Fourth Proportional to 111,583.63, 154,032.54 and 75,334.17

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Solution

The fourth proportional to 111,583.63, 154,032.54 and 75,334.17 is: 103,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,583.63 : 154,032.54 = 75,334.17 : x
  2. Step 2: Convert to fraction form
    111,583.63/154,032.54 = 75,334.17/x
  3. Step 3: Cross multiply
    111,583.63x = 154,032.54 × 75,334.17
  4. Step 4: Simplify right side
    111,583.63x = 11,603,912,982.58
  5. Step 5: Solve for x
    x = 11,603,912,982.58/111,583.63
  6. Step 6: Final answer
    x = 103,992.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.