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Finding the Fourth Proportional to 133,067.71, 199,541.40 and 38,276.11

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Solution

The fourth proportional to 133,067.71, 199,541.40 and 38,276.11 is: 57,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,067.71 : 199,541.40 = 38,276.11 : x
  2. Step 2: Convert to fraction form
    133,067.71/199,541.40 = 38,276.11/x
  3. Step 3: Cross multiply
    133,067.71x = 199,541.40 × 38,276.11
  4. Step 4: Simplify right side
    133,067.71x = 7,637,668,575.95
  5. Step 5: Solve for x
    x = 7,637,668,575.95/133,067.71
  6. Step 6: Final answer
    x = 57,396.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.