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Finding the Fourth Proportional to 202,287.40, 303,188.10 and 83,897.80

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Solution

The fourth proportional to 202,287.40, 303,188.10 and 83,897.80 is: 125,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,287.40 : 303,188.10 = 83,897.80 : x
  2. Step 2: Convert to fraction form
    202,287.40/303,188.10 = 83,897.80/x
  3. Step 3: Cross multiply
    202,287.40x = 303,188.10 × 83,897.80
  4. Step 4: Simplify right side
    202,287.40x = 25,436,814,576.18
  5. Step 5: Solve for x
    x = 25,436,814,576.18/202,287.40
  6. Step 6: Final answer
    x = 125,745.92

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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.