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Finding the Fourth Proportional to 203,419.14, 280,710.81 and 113,989.38

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Solution

The fourth proportional to 203,419.14, 280,710.81 and 113,989.38 is: 157,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419.14 : 280,710.81 = 113,989.38 : x
  2. Step 2: Convert to fraction form
    203,419.14/280,710.81 = 113,989.38/x
  3. Step 3: Cross multiply
    203,419.14x = 280,710.81 × 113,989.38
  4. Step 4: Simplify right side
    203,419.14x = 31,998,051,191.20
  5. Step 5: Solve for x
    x = 31,998,051,191.20/203,419.14
  6. Step 6: Final answer
    x = 157,301.08

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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.