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Finding the Fourth Proportional to 165,022.49, 227,692.01 and 93,402.52

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Solution

The fourth proportional to 165,022.49, 227,692.01 and 93,402.52 is: 128,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,022.49 : 227,692.01 = 93,402.52 : x
  2. Step 2: Convert to fraction form
    165,022.49/227,692.01 = 93,402.52/x
  3. Step 3: Cross multiply
    165,022.49x = 227,692.01 × 93,402.52
  4. Step 4: Simplify right side
    165,022.49x = 21,267,007,182.14
  5. Step 5: Solve for x
    x = 21,267,007,182.14/165,022.49
  6. Step 6: Final answer
    x = 128,873.38

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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.