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Finding the Fourth Proportional to 123,209.96, 184,795.74 and 40,103.40

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Solution

The fourth proportional to 123,209.96, 184,795.74 and 40,103.40 is: 60,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,209.96 : 184,795.74 = 40,103.40 : x
  2. Step 2: Convert to fraction form
    123,209.96/184,795.74 = 40,103.40/x
  3. Step 3: Cross multiply
    123,209.96x = 184,795.74 × 40,103.40
  4. Step 4: Simplify right side
    123,209.96x = 7,410,937,479.52
  5. Step 5: Solve for x
    x = 7,410,937,479.52/123,209.96
  6. Step 6: Final answer
    x = 60,148.85

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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.