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Finding the Fourth Proportional to 189,283.38, 261,210.56 and 108,716.12

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Solution

The fourth proportional to 189,283.38, 261,210.56 and 108,716.12 is: 150,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,283.38 : 261,210.56 = 108,716.12 : x
  2. Step 2: Convert to fraction form
    189,283.38/261,210.56 = 108,716.12/x
  3. Step 3: Cross multiply
    189,283.38x = 261,210.56 × 108,716.12
  4. Step 4: Simplify right side
    189,283.38x = 28,397,798,586.23
  5. Step 5: Solve for x
    x = 28,397,798,586.23/189,283.38
  6. Step 6: Final answer
    x = 150,027.96

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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.