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Finding the Fourth Proportional to 123,028.67, 184,543.11 and 34,284.53

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Solution

The fourth proportional to 123,028.67, 184,543.11 and 34,284.53 is: 51,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,028.67 : 184,543.11 = 34,284.53 : x
  2. Step 2: Convert to fraction form
    123,028.67/184,543.11 = 34,284.53/x
  3. Step 3: Cross multiply
    123,028.67x = 184,543.11 × 34,284.53
  4. Step 4: Simplify right side
    123,028.67x = 6,326,974,252.45
  5. Step 5: Solve for x
    x = 6,326,974,252.45/123,028.67
  6. Step 6: Final answer
    x = 51,426.83

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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.