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Finding the Fourth Proportional to 200,636.37, 299,186.22 and 198,837.63

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Solution

The fourth proportional to 200,636.37, 299,186.22 and 198,837.63 is: 296,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,636.37 : 299,186.22 = 198,837.63 : x
  2. Step 2: Convert to fraction form
    200,636.37/299,186.22 = 198,837.63/x
  3. Step 3: Cross multiply
    200,636.37x = 299,186.22 × 198,837.63
  4. Step 4: Simplify right side
    200,636.37x = 59,489,478,913.46
  5. Step 5: Solve for x
    x = 59,489,478,913.46/200,636.37
  6. Step 6: Final answer
    x = 296,503.96

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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.