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Finding the Fourth Proportional to 226,792.42, 340,265.50 and 100,415.26

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Solution

The fourth proportional to 226,792.42, 340,265.50 and 100,415.26 is: 150,656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,792.42 : 340,265.50 = 100,415.26 : x
  2. Step 2: Convert to fraction form
    226,792.42/340,265.50 = 100,415.26/x
  3. Step 3: Cross multiply
    226,792.42x = 340,265.50 × 100,415.26
  4. Step 4: Simplify right side
    226,792.42x = 34,167,848,651.53
  5. Step 5: Solve for x
    x = 34,167,848,651.53/226,792.42
  6. Step 6: Final answer
    x = 150,656.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.