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Finding the Fourth Proportional to 133,067.64, 183,631.70 and 72,638.68

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Solution

The fourth proportional to 133,067.64, 183,631.70 and 72,638.68 is: 100,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067.64 : 183,631.70 = 72,638.68 : x
  2. Step 2: Convert to fraction form
    133,067.64/183,631.70 = 72,638.68/x
  3. Step 3: Cross multiply
    133,067.64x = 183,631.70 × 72,638.68
  4. Step 4: Simplify right side
    133,067.64x = 13,338,764,294.16
  5. Step 5: Solve for x
    x = 13,338,764,294.16/133,067.64
  6. Step 6: Final answer
    x = 100,240.48

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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.