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Finding the Fourth Proportional to 133,742, 184,563.96 and 74,126

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Solution

The fourth proportional to 133,742, 184,563.96 and 74,126 is: 102,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,742 : 184,563.96 = 74,126 : x
  2. Step 2: Convert to fraction form
    133,742/184,563.96 = 74,126/x
  3. Step 3: Cross multiply
    133,742x = 184,563.96 × 74,126
  4. Step 4: Simplify right side
    133,742x = 13,680,988,098.96
  5. Step 5: Solve for x
    x = 13,680,988,098.96/133,742
  6. Step 6: Final answer
    x = 102,293.88

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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.