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Finding the Fourth Proportional to 133,074, 183,642.12 and 73,458

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Solution

The fourth proportional to 133,074, 183,642.12 and 73,458 is: 101,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074 : 183,642.12 = 73,458 : x
  2. Step 2: Convert to fraction form
    133,074/183,642.12 = 73,458/x
  3. Step 3: Cross multiply
    133,074x = 183,642.12 × 73,458
  4. Step 4: Simplify right side
    133,074x = 13,489,982,850.96
  5. Step 5: Solve for x
    x = 13,489,982,850.96/133,074
  6. Step 6: Final answer
    x = 101,372.04

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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.