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Finding the Fourth Proportional to 123,074.61, 184,643.09 and 34,328.10

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Solution

The fourth proportional to 123,074.61, 184,643.09 and 34,328.10 is: 51,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,074.61 : 184,643.09 = 34,328.10 : x
  2. Step 2: Convert to fraction form
    123,074.61/184,643.09 = 34,328.10/x
  3. Step 3: Cross multiply
    123,074.61x = 184,643.09 × 34,328.10
  4. Step 4: Simplify right side
    123,074.61x = 6,338,447,300.43
  5. Step 5: Solve for x
    x = 6,338,447,300.43/123,074.61
  6. Step 6: Final answer
    x = 51,500.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.