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Finding the Fourth Proportional to 200,516.32, 300,748.08 and 95,402.08

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Solution

The fourth proportional to 200,516.32, 300,748.08 and 95,402.08 is: 143,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,516.32 : 300,748.08 = 95,402.08 : x
  2. Step 2: Convert to fraction form
    200,516.32/300,748.08 = 95,402.08/x
  3. Step 3: Cross multiply
    200,516.32x = 300,748.08 × 95,402.08
  4. Step 4: Simplify right side
    200,516.32x = 28,691,992,388.01
  5. Step 5: Solve for x
    x = 28,691,992,388.01/200,516.32
  6. Step 6: Final answer
    x = 143,090.56

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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.