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Finding the Fourth Proportional to 111,738.20, 154,198.70 and 61,437.20

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Solution

The fourth proportional to 111,738.20, 154,198.70 and 61,437.20 is: 84,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,738.20 : 154,198.70 = 61,437.20 : x
  2. Step 2: Convert to fraction form
    111,738.20/154,198.70 = 61,437.20/x
  3. Step 3: Cross multiply
    111,738.20x = 154,198.70 × 61,437.20
  4. Step 4: Simplify right side
    111,738.20x = 9,473,535,293.46
  5. Step 5: Solve for x
    x = 9,473,535,293.46/111,738.20
  6. Step 6: Final answer
    x = 84,783.32

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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.