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Finding the Fourth Proportional to 202,211.90, 303,354.30 and 83,895.20

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Solution

The fourth proportional to 202,211.90, 303,354.30 and 83,895.20 is: 125,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,211.90 : 303,354.30 = 83,895.20 : x
  2. Step 2: Convert to fraction form
    202,211.90/303,354.30 = 83,895.20/x
  3. Step 3: Cross multiply
    202,211.90x = 303,354.30 × 83,895.20
  4. Step 4: Simplify right side
    202,211.90x = 25,449,969,669.36
  5. Step 5: Solve for x
    x = 25,449,969,669.36/202,211.90
  6. Step 6: Final answer
    x = 125,857.92

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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.