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Finding the Fourth Proportional to 202,932.74, 280,028.11 and 137,388.24

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Solution

The fourth proportional to 202,932.74, 280,028.11 and 137,388.24 is: 189,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,932.74 : 280,028.11 = 137,388.24 : x
  2. Step 2: Convert to fraction form
    202,932.74/280,028.11 = 137,388.24/x
  3. Step 3: Cross multiply
    202,932.74x = 280,028.11 × 137,388.24
  4. Step 4: Simplify right side
    202,932.74x = 38,472,569,090.17
  5. Step 5: Solve for x
    x = 38,472,569,090.17/202,932.74
  6. Step 6: Final answer
    x = 189,582.86

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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.