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Finding the Fourth Proportional to 133,906.47, 200,719.47 and 45,129.30

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Solution

The fourth proportional to 133,906.47, 200,719.47 and 45,129.30 is: 67,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,906.47 : 200,719.47 = 45,129.30 : x
  2. Step 2: Convert to fraction form
    133,906.47/200,719.47 = 45,129.30/x
  3. Step 3: Cross multiply
    133,906.47x = 200,719.47 × 45,129.30
  4. Step 4: Simplify right side
    133,906.47x = 9,058,328,594.01
  5. Step 5: Solve for x
    x = 9,058,328,594.01/133,906.47
  6. Step 6: Final answer
    x = 67,646.69

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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.