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Finding the Fourth Proportional to 203,404.01, 305,082.63 and 53,656.16

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Solution

The fourth proportional to 203,404.01, 305,082.63 and 53,656.16 is: 80,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,404.01 : 305,082.63 = 53,656.16 : x
  2. Step 2: Convert to fraction form
    203,404.01/305,082.63 = 53,656.16/x
  3. Step 3: Cross multiply
    203,404.01x = 305,082.63 × 53,656.16
  4. Step 4: Simplify right side
    203,404.01x = 16,369,560,883.09
  5. Step 5: Solve for x
    x = 16,369,560,883.09/203,404.01
  6. Step 6: Final answer
    x = 80,478.07

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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.