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Finding the Fourth Proportional to 266,082.32, 367,199.40 and 145,224.08

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Solution

The fourth proportional to 266,082.32, 367,199.40 and 145,224.08 is: 200,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,082.32 : 367,199.40 = 145,224.08 : x
  2. Step 2: Convert to fraction form
    266,082.32/367,199.40 = 145,224.08/x
  3. Step 3: Cross multiply
    266,082.32x = 367,199.40 × 145,224.08
  4. Step 4: Simplify right side
    266,082.32x = 53,326,195,041.55
  5. Step 5: Solve for x
    x = 53,326,195,041.55/266,082.32
  6. Step 6: Final answer
    x = 200,412.40

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