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Finding the Fourth Proportional to 183,331.84, 274,987 and 50,202.30

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Solution

The fourth proportional to 183,331.84, 274,987 and 50,202.30 is: 75,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,331.84 : 274,987 = 50,202.30 : x
  2. Step 2: Convert to fraction form
    183,331.84/274,987 = 50,202.30/x
  3. Step 3: Cross multiply
    183,331.84x = 274,987 × 50,202.30
  4. Step 4: Simplify right side
    183,331.84x = 13,804,979,870.10
  5. Step 5: Solve for x
    x = 13,804,979,870.10/183,331.84
  6. Step 6: Final answer
    x = 75,300.50

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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.