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Finding the Fourth Proportional to 202,186.20, 302,680.26 and 149,830.68

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Solution

The fourth proportional to 202,186.20, 302,680.26 and 149,830.68 is: 224,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,186.20 : 302,680.26 = 149,830.68 : x
  2. Step 2: Convert to fraction form
    202,186.20/302,680.26 = 149,830.68/x
  3. Step 3: Cross multiply
    202,186.20x = 302,680.26 × 149,830.68
  4. Step 4: Simplify right side
    202,186.20x = 45,350,789,178.38
  5. Step 5: Solve for x
    x = 45,350,789,178.38/202,186.20
  6. Step 6: Final answer
    x = 224,302.10

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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.