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Finding the Fourth Proportional to 202,847.20, 304,270.80 and 92,039.20

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Solution

The fourth proportional to 202,847.20, 304,270.80 and 92,039.20 is: 138,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,847.20 : 304,270.80 = 92,039.20 : x
  2. Step 2: Convert to fraction form
    202,847.20/304,270.80 = 92,039.20/x
  3. Step 3: Cross multiply
    202,847.20x = 304,270.80 × 92,039.20
  4. Step 4: Simplify right side
    202,847.20x = 28,004,841,015.36
  5. Step 5: Solve for x
    x = 28,004,841,015.36/202,847.20
  6. Step 6: Final answer
    x = 138,058.80

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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.