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Finding the Fourth Proportional to 293,905.50, 441,054.98 and 106,917

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Solution

The fourth proportional to 293,905.50, 441,054.98 and 106,917 is: 160,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,905.50 : 441,054.98 = 106,917 : x
  2. Step 2: Convert to fraction form
    293,905.50/441,054.98 = 106,917/x
  3. Step 3: Cross multiply
    293,905.50x = 441,054.98 × 106,917
  4. Step 4: Simplify right side
    293,905.50x = 47,156,274,762.08
  5. Step 5: Solve for x
    x = 47,156,274,762.08/293,905.50
  6. Step 6: Final answer
    x = 160,447.06

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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.