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Finding the Fourth Proportional to 165,002.28, 227,703 and 93,381

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Solution

The fourth proportional to 165,002.28, 227,703 and 93,381 is: 128,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,002.28 : 227,703 = 93,381 : x
  2. Step 2: Convert to fraction form
    165,002.28/227,703 = 93,381/x
  3. Step 3: Cross multiply
    165,002.28x = 227,703 × 93,381
  4. Step 4: Simplify right side
    165,002.28x = 21,263,133,843
  5. Step 5: Solve for x
    x = 21,263,133,843/165,002.28
  6. Step 6: Final answer
    x = 128,865.70

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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.