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Finding the Fourth Proportional to 111,765.37, 154,233.13 and 61,464.37

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Solution

The fourth proportional to 111,765.37, 154,233.13 and 61,464.37 is: 84,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,765.37 : 154,233.13 = 61,464.37 : x
  2. Step 2: Convert to fraction form
    111,765.37/154,233.13 = 61,464.37/x
  3. Step 3: Cross multiply
    111,765.37x = 154,233.13 × 61,464.37
  4. Step 4: Simplify right side
    111,765.37x = 9,479,842,168.58
  5. Step 5: Solve for x
    x = 9,479,842,168.58/111,765.37
  6. Step 6: Final answer
    x = 84,819.14

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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.