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Finding the Fourth Proportional to 97,806.66, 134,978.22 and 54,783.59

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Solution

The fourth proportional to 97,806.66, 134,978.22 and 54,783.59 is: 75,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.66 : 134,978.22 = 54,783.59 : x
  2. Step 2: Convert to fraction form
    97,806.66/134,978.22 = 54,783.59/x
  3. Step 3: Cross multiply
    97,806.66x = 134,978.22 × 54,783.59
  4. Step 4: Simplify right side
    97,806.66x = 7,394,591,701.85
  5. Step 5: Solve for x
    x = 7,394,591,701.85/97,806.66
  6. Step 6: Final answer
    x = 75,604.17

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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.