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Finding the Fourth Proportional to 226,226.50, 339,106.46 and 101,654.98

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Solution

The fourth proportional to 226,226.50, 339,106.46 and 101,654.98 is: 152,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,226.50 : 339,106.46 = 101,654.98 : x
  2. Step 2: Convert to fraction form
    226,226.50/339,106.46 = 101,654.98/x
  3. Step 3: Cross multiply
    226,226.50x = 339,106.46 × 101,654.98
  4. Step 4: Simplify right side
    226,226.50x = 34,471,860,409.17
  5. Step 5: Solve for x
    x = 34,471,860,409.17/226,226.50
  6. Step 6: Final answer
    x = 152,377.64

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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.