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Finding the Fourth Proportional to 226,416, 339,675.84 and 78,672

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Solution

The fourth proportional to 226,416, 339,675.84 and 78,672 is: 118,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,416 : 339,675.84 = 78,672 : x
  2. Step 2: Convert to fraction form
    226,416/339,675.84 = 78,672/x
  3. Step 3: Cross multiply
    226,416x = 339,675.84 × 78,672
  4. Step 4: Simplify right side
    226,416x = 26,722,977,684.48
  5. Step 5: Solve for x
    x = 26,722,977,684.48/226,416
  6. Step 6: Final answer
    x = 118,026.01

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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.