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Finding the Fourth Proportional to 200,640.38, 299,192.18 and 198,841.64

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Solution

The fourth proportional to 200,640.38, 299,192.18 and 198,841.64 is: 296,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,640.38 : 299,192.18 = 198,841.64 : x
  2. Step 2: Convert to fraction form
    200,640.38/299,192.18 = 198,841.64/x
  3. Step 3: Cross multiply
    200,640.38x = 299,192.18 × 198,841.64
  4. Step 4: Simplify right side
    200,640.38x = 59,491,863,746.38
  5. Step 5: Solve for x
    x = 59,491,863,746.38/200,640.38
  6. Step 6: Final answer
    x = 296,509.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.