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Finding the Fourth Proportional to 123,069.31, 184,937.49 and 66,950.89

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Solution

The fourth proportional to 123,069.31, 184,937.49 and 66,950.89 is: 100,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,069.31 : 184,937.49 = 66,950.89 : x
  2. Step 2: Convert to fraction form
    123,069.31/184,937.49 = 66,950.89/x
  3. Step 3: Cross multiply
    123,069.31x = 184,937.49 × 66,950.89
  4. Step 4: Simplify right side
    123,069.31x = 12,381,729,215.11
  5. Step 5: Solve for x
    x = 12,381,729,215.11/123,069.31
  6. Step 6: Final answer
    x = 100,607.77

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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.