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Finding the Fourth Proportional to 203,670.74, 305,242.52 and 113,711.10

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Solution

The fourth proportional to 203,670.74, 305,242.52 and 113,711.10 is: 170,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670.74 : 305,242.52 = 113,711.10 : x
  2. Step 2: Convert to fraction form
    203,670.74/305,242.52 = 113,711.10/x
  3. Step 3: Cross multiply
    203,670.74x = 305,242.52 × 113,711.10
  4. Step 4: Simplify right side
    203,670.74x = 34,709,462,147.42
  5. Step 5: Solve for x
    x = 34,709,462,147.42/203,670.74
  6. Step 6: Final answer
    x = 170,419.49

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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.