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Finding the Fourth Proportional to 116,821.32, 161,209.56 and 73,823.78

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Solution

The fourth proportional to 116,821.32, 161,209.56 and 73,823.78 is: 101,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,821.32 : 161,209.56 = 73,823.78 : x
  2. Step 2: Convert to fraction form
    116,821.32/161,209.56 = 73,823.78/x
  3. Step 3: Cross multiply
    116,821.32x = 161,209.56 × 73,823.78
  4. Step 4: Simplify right side
    116,821.32x = 11,901,099,091.34
  5. Step 5: Solve for x
    x = 11,901,099,091.34/116,821.32
  6. Step 6: Final answer
    x = 101,874.38

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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.