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Finding the Fourth Proportional to 109,778.09, 151,493.76 and 59,477.09

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Solution

The fourth proportional to 109,778.09, 151,493.76 and 59,477.09 is: 82,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,778.09 : 151,493.76 = 59,477.09 : x
  2. Step 2: Convert to fraction form
    109,778.09/151,493.76 = 59,477.09/x
  3. Step 3: Cross multiply
    109,778.09x = 151,493.76 × 59,477.09
  4. Step 4: Simplify right side
    109,778.09x = 9,010,407,240.49
  5. Step 5: Solve for x
    x = 9,010,407,240.49/109,778.09
  6. Step 6: Final answer
    x = 82,078.38

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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.