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Finding the Fourth Proportional to 227,992.80, 342,006.40 and 68,056.11

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Solution

The fourth proportional to 227,992.80, 342,006.40 and 68,056.11 is: 102,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,992.80 : 342,006.40 = 68,056.11 : x
  2. Step 2: Convert to fraction form
    227,992.80/342,006.40 = 68,056.11/x
  3. Step 3: Cross multiply
    227,992.80x = 342,006.40 × 68,056.11
  4. Step 4: Simplify right side
    227,992.80x = 23,275,625,179.10
  5. Step 5: Solve for x
    x = 23,275,625,179.10/227,992.80
  6. Step 6: Final answer
    x = 102,089.30

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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.