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Finding the Fourth Proportional to 227,991.83, 341,994.65 and 78,229.98

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Solution

The fourth proportional to 227,991.83, 341,994.65 and 78,229.98 is: 117,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,991.83 : 341,994.65 = 78,229.98 : x
  2. Step 2: Convert to fraction form
    227,991.83/341,994.65 = 78,229.98/x
  3. Step 3: Cross multiply
    227,991.83x = 341,994.65 × 78,229.98
  4. Step 4: Simplify right side
    227,991.83x = 26,754,234,238.46
  5. Step 5: Solve for x
    x = 26,754,234,238.46/227,991.83
  6. Step 6: Final answer
    x = 117,347.34

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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.