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Finding the Fourth Proportional to 133,517.34, 200,308.77 and 40,023

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Solution

The fourth proportional to 133,517.34, 200,308.77 and 40,023 is: 60,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,517.34 : 200,308.77 = 40,023 : x
  2. Step 2: Convert to fraction form
    133,517.34/200,308.77 = 40,023/x
  3. Step 3: Cross multiply
    133,517.34x = 200,308.77 × 40,023
  4. Step 4: Simplify right side
    133,517.34x = 8,016,957,901.71
  5. Step 5: Solve for x
    x = 8,016,957,901.71/133,517.34
  6. Step 6: Final answer
    x = 60,044.32

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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.