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Finding the Fourth Proportional to 189,200.97, 283,696.88 and 75,233.34

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Solution

The fourth proportional to 189,200.97, 283,696.88 and 75,233.34 is: 112,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,200.97 : 283,696.88 = 75,233.34 : x
  2. Step 2: Convert to fraction form
    189,200.97/283,696.88 = 75,233.34/x
  3. Step 3: Cross multiply
    189,200.97x = 283,696.88 × 75,233.34
  4. Step 4: Simplify right side
    189,200.97x = 21,343,463,453.81
  5. Step 5: Solve for x
    x = 21,343,463,453.81/189,200.97
  6. Step 6: Final answer
    x = 112,808.43

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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.