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Finding the Fourth Proportional to 202,043.37, 278,758.02 and 117,143.49

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Solution

The fourth proportional to 202,043.37, 278,758.02 and 117,143.49 is: 161,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,043.37 : 278,758.02 = 117,143.49 : x
  2. Step 2: Convert to fraction form
    202,043.37/278,758.02 = 117,143.49/x
  3. Step 3: Cross multiply
    202,043.37x = 278,758.02 × 117,143.49
  4. Step 4: Simplify right side
    202,043.37x = 32,654,687,328.29
  5. Step 5: Solve for x
    x = 32,654,687,328.29/202,043.37
  6. Step 6: Final answer
    x = 161,622.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.