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Finding the Fourth Proportional to 123,294.80, 184,942.20 and 44,411.60

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Solution

The fourth proportional to 123,294.80, 184,942.20 and 44,411.60 is: 66,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,294.80 : 184,942.20 = 44,411.60 : x
  2. Step 2: Convert to fraction form
    123,294.80/184,942.20 = 44,411.60/x
  3. Step 3: Cross multiply
    123,294.80x = 184,942.20 × 44,411.60
  4. Step 4: Simplify right side
    123,294.80x = 8,213,579,009.52
  5. Step 5: Solve for x
    x = 8,213,579,009.52/123,294.80
  6. Step 6: Final answer
    x = 66,617.40

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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.