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Finding the Fourth Proportional to 111,734.77, 154,193.97 and 61,433.77

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Solution

The fourth proportional to 111,734.77, 154,193.97 and 61,433.77 is: 84,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,734.77 : 154,193.97 = 61,433.77 : x
  2. Step 2: Convert to fraction form
    111,734.77/154,193.97 = 61,433.77/x
  3. Step 3: Cross multiply
    111,734.77x = 154,193.97 × 61,433.77
  4. Step 4: Simplify right side
    111,734.77x = 9,472,716,888.37
  5. Step 5: Solve for x
    x = 9,472,716,888.37/111,734.77
  6. Step 6: Final answer
    x = 84,778.60

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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.