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Finding the Fourth Proportional to 183,769.40, 275,589.30 and 83,977.40

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Solution

The fourth proportional to 183,769.40, 275,589.30 and 83,977.40 is: 125,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,769.40 : 275,589.30 = 83,977.40 : x
  2. Step 2: Convert to fraction form
    183,769.40/275,589.30 = 83,977.40/x
  3. Step 3: Cross multiply
    183,769.40x = 275,589.30 × 83,977.40
  4. Step 4: Simplify right side
    183,769.40x = 23,143,272,881.82
  5. Step 5: Solve for x
    x = 23,143,272,881.82/183,769.40
  6. Step 6: Final answer
    x = 125,936.49

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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.