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Finding the Fourth Proportional to 199,783.38, 275,935.10 and 159,083.76

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Solution

The fourth proportional to 199,783.38, 275,935.10 and 159,083.76 is: 219,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,783.38 : 275,935.10 = 159,083.76 : x
  2. Step 2: Convert to fraction form
    199,783.38/275,935.10 = 159,083.76/x
  3. Step 3: Cross multiply
    199,783.38x = 275,935.10 × 159,083.76
  4. Step 4: Simplify right side
    199,783.38x = 43,896,793,223.98
  5. Step 5: Solve for x
    x = 43,896,793,223.98/199,783.38
  6. Step 6: Final answer
    x = 219,721.95

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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.