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Finding the Fourth Proportional to 202,962.80, 304,463.40 and 55,218.80

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Solution

The fourth proportional to 202,962.80, 304,463.40 and 55,218.80 is: 82,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962.80 : 304,463.40 = 55,218.80 : x
  2. Step 2: Convert to fraction form
    202,962.80/304,463.40 = 55,218.80/x
  3. Step 3: Cross multiply
    202,962.80x = 304,463.40 × 55,218.80
  4. Step 4: Simplify right side
    202,962.80x = 16,812,103,591.92
  5. Step 5: Solve for x
    x = 16,812,103,591.92/202,962.80
  6. Step 6: Final answer
    x = 82,833.42

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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.