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Finding the Fourth Proportional to 183,757.72, 275,267.52 and 83,780.38

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Solution

The fourth proportional to 183,757.72, 275,267.52 and 83,780.38 is: 125,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,757.72 : 275,267.52 = 83,780.38 : x
  2. Step 2: Convert to fraction form
    183,757.72/275,267.52 = 83,780.38/x
  3. Step 3: Cross multiply
    183,757.72x = 275,267.52 × 83,780.38
  4. Step 4: Simplify right side
    183,757.72x = 23,062,018,288.88
  5. Step 5: Solve for x
    x = 23,062,018,288.88/183,757.72
  6. Step 6: Final answer
    x = 125,502.31

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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.