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Finding the Fourth Proportional to 202,971.30, 304,476.15 and 55,227.30

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Solution

The fourth proportional to 202,971.30, 304,476.15 and 55,227.30 is: 82,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,971.30 : 304,476.15 = 55,227.30 : x
  2. Step 2: Convert to fraction form
    202,971.30/304,476.15 = 55,227.30/x
  3. Step 3: Cross multiply
    202,971.30x = 304,476.15 × 55,227.30
  4. Step 4: Simplify right side
    202,971.30x = 16,815,395,678.90
  5. Step 5: Solve for x
    x = 16,815,395,678.90/202,971.30
  6. Step 6: Final answer
    x = 82,846.17

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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.