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Finding the Fourth Proportional to 226,739.90, 340,241.29 and 114,428.90

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Solution

The fourth proportional to 226,739.90, 340,241.29 and 114,428.90 is: 171,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,739.90 : 340,241.29 = 114,428.90 : x
  2. Step 2: Convert to fraction form
    226,739.90/340,241.29 = 114,428.90/x
  3. Step 3: Cross multiply
    226,739.90x = 340,241.29 × 114,428.90
  4. Step 4: Simplify right side
    226,739.90x = 38,933,437,113.81
  5. Step 5: Solve for x
    x = 38,933,437,113.81/226,739.90
  6. Step 6: Final answer
    x = 171,709.68

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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.