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Finding the Fourth Proportional to 189,315.38, 261,258.41 and 103,274.39

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Solution

The fourth proportional to 189,315.38, 261,258.41 and 103,274.39 is: 142,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,315.38 : 261,258.41 = 103,274.39 : x
  2. Step 2: Convert to fraction form
    189,315.38/261,258.41 = 103,274.39/x
  3. Step 3: Cross multiply
    189,315.38x = 261,258.41 × 103,274.39
  4. Step 4: Simplify right side
    189,315.38x = 26,981,303,836.45
  5. Step 5: Solve for x
    x = 26,981,303,836.45/189,315.38
  6. Step 6: Final answer
    x = 142,520.40

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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.