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Finding the Fourth Proportional to 123,193.71, 184,819.42 and 52,122.74

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Solution

The fourth proportional to 123,193.71, 184,819.42 and 52,122.74 is: 78,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,193.71 : 184,819.42 = 52,122.74 : x
  2. Step 2: Convert to fraction form
    123,193.71/184,819.42 = 52,122.74/x
  3. Step 3: Cross multiply
    123,193.71x = 184,819.42 × 52,122.74
  4. Step 4: Simplify right side
    123,193.71x = 9,633,294,756.28
  5. Step 5: Solve for x
    x = 9,633,294,756.28/123,193.71
  6. Step 6: Final answer
    x = 78,196.32

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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.