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Finding the Fourth Proportional to 133,650, 184,437 and 74,034

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Solution

The fourth proportional to 133,650, 184,437 and 74,034 is: 102,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,650 : 184,437 = 74,034 : x
  2. Step 2: Convert to fraction form
    133,650/184,437 = 74,034/x
  3. Step 3: Cross multiply
    133,650x = 184,437 × 74,034
  4. Step 4: Simplify right side
    133,650x = 13,654,608,858
  5. Step 5: Solve for x
    x = 13,654,608,858/133,650
  6. Step 6: Final answer
    x = 102,166.92

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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.