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Finding the Fourth Proportional to 202,648.40, 304,082.04 and 84,401.36

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Solution

The fourth proportional to 202,648.40, 304,082.04 and 84,401.36 is: 126,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,648.40 : 304,082.04 = 84,401.36 : x
  2. Step 2: Convert to fraction form
    202,648.40/304,082.04 = 84,401.36/x
  3. Step 3: Cross multiply
    202,648.40x = 304,082.04 × 84,401.36
  4. Step 4: Simplify right side
    202,648.40x = 25,664,937,727.57
  5. Step 5: Solve for x
    x = 25,664,937,727.57/202,648.40
  6. Step 6: Final answer
    x = 126,647.62

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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.