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Finding the Fourth Proportional to 266,082.52, 367,186.80 and 145,225.30

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Solution

The fourth proportional to 266,082.52, 367,186.80 and 145,225.30 is: 200,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,082.52 : 367,186.80 = 145,225.30 : x
  2. Step 2: Convert to fraction form
    266,082.52/367,186.80 = 145,225.30/x
  3. Step 3: Cross multiply
    266,082.52x = 367,186.80 × 145,225.30
  4. Step 4: Simplify right side
    266,082.52x = 53,324,813,186.04
  5. Step 5: Solve for x
    x = 53,324,813,186.04/266,082.52
  6. Step 6: Final answer
    x = 200,407.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.