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Finding the Fourth Proportional to 133,834.78, 184,692.00 and 74,218.78

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Solution

The fourth proportional to 133,834.78, 184,692.00 and 74,218.78 is: 102,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,834.78 : 184,692.00 = 74,218.78 : x
  2. Step 2: Convert to fraction form
    133,834.78/184,692.00 = 74,218.78/x
  3. Step 3: Cross multiply
    133,834.78x = 184,692.00 × 74,218.78
  4. Step 4: Simplify right side
    133,834.78x = 13,707,615,007.46
  5. Step 5: Solve for x
    x = 13,707,615,007.46/133,834.78
  6. Step 6: Final answer
    x = 102,421.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.