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Finding the Fourth Proportional to 229,647.30, 343,972.42 and 111,069.98

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Solution

The fourth proportional to 229,647.30, 343,972.42 and 111,069.98 is: 166,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,647.30 : 343,972.42 = 111,069.98 : x
  2. Step 2: Convert to fraction form
    229,647.30/343,972.42 = 111,069.98/x
  3. Step 3: Cross multiply
    229,647.30x = 343,972.42 × 111,069.98
  4. Step 4: Simplify right side
    229,647.30x = 38,205,011,661.92
  5. Step 5: Solve for x
    x = 38,205,011,661.92/229,647.30
  6. Step 6: Final answer
    x = 166,363.86

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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.