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Finding the Fourth Proportional to 113,685.54, 170,323.98 and 66,912.90

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Solution

The fourth proportional to 113,685.54, 170,323.98 and 66,912.90 is: 100,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,685.54 : 170,323.98 = 66,912.90 : x
  2. Step 2: Convert to fraction form
    113,685.54/170,323.98 = 66,912.90/x
  3. Step 3: Cross multiply
    113,685.54x = 170,323.98 × 66,912.90
  4. Step 4: Simplify right side
    113,685.54x = 11,396,871,441.34
  5. Step 5: Solve for x
    x = 11,396,871,441.34/113,685.54
  6. Step 6: Final answer
    x = 100,249.09

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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.