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Finding the Fourth Proportional to 200,727.96, 300,996.60 and 116,514.11

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Solution

The fourth proportional to 200,727.96, 300,996.60 and 116,514.11 is: 174,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727.96 : 300,996.60 = 116,514.11 : x
  2. Step 2: Convert to fraction form
    200,727.96/300,996.60 = 116,514.11/x
  3. Step 3: Cross multiply
    200,727.96x = 300,996.60 × 116,514.11
  4. Step 4: Simplify right side
    200,727.96x = 35,070,350,962.03
  5. Step 5: Solve for x
    x = 35,070,350,962.03/200,727.96
  6. Step 6: Final answer
    x = 174,715.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.