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Finding the Fourth Proportional to 223,378.92, 334,750.32 and 110,948.94

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Solution

The fourth proportional to 223,378.92, 334,750.32 and 110,948.94 is: 166,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,378.92 : 334,750.32 = 110,948.94 : x
  2. Step 2: Convert to fraction form
    223,378.92/334,750.32 = 110,948.94/x
  3. Step 3: Cross multiply
    223,378.92x = 334,750.32 × 110,948.94
  4. Step 4: Simplify right side
    223,378.92x = 37,140,193,168.66
  5. Step 5: Solve for x
    x = 37,140,193,168.66/223,378.92
  6. Step 6: Final answer
    x = 166,265.43

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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.