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Finding the Fourth Proportional to 202,791, 304,186.50 and 55,047

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Solution

The fourth proportional to 202,791, 304,186.50 and 55,047 is: 82,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,791 : 304,186.50 = 55,047 : x
  2. Step 2: Convert to fraction form
    202,791/304,186.50 = 55,047/x
  3. Step 3: Cross multiply
    202,791x = 304,186.50 × 55,047
  4. Step 4: Simplify right side
    202,791x = 16,744,554,265.50
  5. Step 5: Solve for x
    x = 16,744,554,265.50/202,791
  6. Step 6: Final answer
    x = 82,570.50

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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.