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Finding the Fourth Proportional to 259,729.56, 389,299.05 and 109,876.32

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Solution

The fourth proportional to 259,729.56, 389,299.05 and 109,876.32 is: 164,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,729.56 : 389,299.05 = 109,876.32 : x
  2. Step 2: Convert to fraction form
    259,729.56/389,299.05 = 109,876.32/x
  3. Step 3: Cross multiply
    259,729.56x = 389,299.05 × 109,876.32
  4. Step 4: Simplify right side
    259,729.56x = 42,774,746,993.50
  5. Step 5: Solve for x
    x = 42,774,746,993.50/259,729.56
  6. Step 6: Final answer
    x = 164,689.56

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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.