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Finding the Fourth Proportional to 226,438.90, 312,405.98 and 135,824.20

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Solution

The fourth proportional to 226,438.90, 312,405.98 and 135,824.20 is: 187,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,438.90 : 312,405.98 = 135,824.20 : x
  2. Step 2: Convert to fraction form
    226,438.90/312,405.98 = 135,824.20/x
  3. Step 3: Cross multiply
    226,438.90x = 312,405.98 × 135,824.20
  4. Step 4: Simplify right side
    226,438.90x = 42,432,292,308.72
  5. Step 5: Solve for x
    x = 42,432,292,308.72/226,438.90
  6. Step 6: Final answer
    x = 187,389.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.