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Finding the Fourth Proportional to 138,593.84, 207,890.15 and 33,412.50

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Solution

The fourth proportional to 138,593.84, 207,890.15 and 33,412.50 is: 50,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,593.84 : 207,890.15 = 33,412.50 : x
  2. Step 2: Convert to fraction form
    138,593.84/207,890.15 = 33,412.50/x
  3. Step 3: Cross multiply
    138,593.84x = 207,890.15 × 33,412.50
  4. Step 4: Simplify right side
    138,593.84x = 6,946,129,469.81
  5. Step 5: Solve for x
    x = 6,946,129,469.81/138,593.84
  6. Step 6: Final answer
    x = 50,118.60

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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.