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Finding the Fourth Proportional to 202,166.40, 303,103.80 and 132,085.20

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Solution

The fourth proportional to 202,166.40, 303,103.80 and 132,085.20 is: 198,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166.40 : 303,103.80 = 132,085.20 : x
  2. Step 2: Convert to fraction form
    202,166.40/303,103.80 = 132,085.20/x
  3. Step 3: Cross multiply
    202,166.40x = 303,103.80 × 132,085.20
  4. Step 4: Simplify right side
    202,166.40x = 40,035,526,043.76
  5. Step 5: Solve for x
    x = 40,035,526,043.76/202,166.40
  6. Step 6: Final answer
    x = 198,032.54

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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.