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Finding the Fourth Proportional to 111,410.72, 167,143.76 and 55,277.18

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Solution

The fourth proportional to 111,410.72, 167,143.76 and 55,277.18 is: 82,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,410.72 : 167,143.76 = 55,277.18 : x
  2. Step 2: Convert to fraction form
    111,410.72/167,143.76 = 55,277.18/x
  3. Step 3: Cross multiply
    111,410.72x = 167,143.76 × 55,277.18
  4. Step 4: Simplify right side
    111,410.72x = 9,239,235,431.01
  5. Step 5: Solve for x
    x = 9,239,235,431.01/111,410.72
  6. Step 6: Final answer
    x = 82,929.50

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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.