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Finding the Fourth Proportional to 133,712.76, 200,495.16 and 54,882.48

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Solution

The fourth proportional to 133,712.76, 200,495.16 and 54,882.48 is: 82,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,712.76 : 200,495.16 = 54,882.48 : x
  2. Step 2: Convert to fraction form
    133,712.76/200,495.16 = 54,882.48/x
  3. Step 3: Cross multiply
    133,712.76x = 200,495.16 × 54,882.48
  4. Step 4: Simplify right side
    133,712.76x = 11,003,671,608.80
  5. Step 5: Solve for x
    x = 11,003,671,608.80/133,712.76
  6. Step 6: Final answer
    x = 82,293.35

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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.