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Finding the Fourth Proportional to 202,940.64, 280,039.02 and 137,396.14

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Solution

The fourth proportional to 202,940.64, 280,039.02 and 137,396.14 is: 189,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,940.64 : 280,039.02 = 137,396.14 : x
  2. Step 2: Convert to fraction form
    202,940.64/280,039.02 = 137,396.14/x
  3. Step 3: Cross multiply
    202,940.64x = 280,039.02 × 137,396.14
  4. Step 4: Simplify right side
    202,940.64x = 38,476,280,397.38
  5. Step 5: Solve for x
    x = 38,476,280,397.38/202,940.64
  6. Step 6: Final answer
    x = 189,593.77

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Why These Related Problems?

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