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Finding the Fourth Proportional to 202,961.80, 304,461.90 and 55,217.80

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Solution

The fourth proportional to 202,961.80, 304,461.90 and 55,217.80 is: 82,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.80 : 304,461.90 = 55,217.80 : x
  2. Step 2: Convert to fraction form
    202,961.80/304,461.90 = 55,217.80/x
  3. Step 3: Cross multiply
    202,961.80x = 304,461.90 × 55,217.80
  4. Step 4: Simplify right side
    202,961.80x = 16,811,716,301.82
  5. Step 5: Solve for x
    x = 16,811,716,301.82/202,961.80
  6. Step 6: Final answer
    x = 82,831.92

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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.