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Finding the Fourth Proportional to 128,206.02, 192,309.17 and 33,436.13

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Solution

The fourth proportional to 128,206.02, 192,309.17 and 33,436.13 is: 50,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,206.02 : 192,309.17 = 33,436.13 : x
  2. Step 2: Convert to fraction form
    128,206.02/192,309.17 = 33,436.13/x
  3. Step 3: Cross multiply
    128,206.02x = 192,309.17 × 33,436.13
  4. Step 4: Simplify right side
    128,206.02x = 6,430,074,408.31
  5. Step 5: Solve for x
    x = 6,430,074,408.31/128,206.02
  6. Step 6: Final answer
    x = 50,154.23

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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.