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Finding the Fourth Proportional to 109,984.50, 151,778.75 and 59,683.50

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Solution

The fourth proportional to 109,984.50, 151,778.75 and 59,683.50 is: 82,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,984.50 : 151,778.75 = 59,683.50 : x
  2. Step 2: Convert to fraction form
    109,984.50/151,778.75 = 59,683.50/x
  3. Step 3: Cross multiply
    109,984.50x = 151,778.75 × 59,683.50
  4. Step 4: Simplify right side
    109,984.50x = 9,058,686,727.21
  5. Step 5: Solve for x
    x = 9,058,686,727.21/109,984.50
  6. Step 6: Final answer
    x = 82,363.30

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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.