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Finding the Fourth Proportional to 259,751.60, 389,627.40 and 109,942.10

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Solution

The fourth proportional to 259,751.60, 389,627.40 and 109,942.10 is: 164,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,751.60 : 389,627.40 = 109,942.10 : x
  2. Step 2: Convert to fraction form
    259,751.60/389,627.40 = 109,942.10/x
  3. Step 3: Cross multiply
    259,751.60x = 389,627.40 × 109,942.10
  4. Step 4: Simplify right side
    259,751.60x = 42,836,454,573.54
  5. Step 5: Solve for x
    x = 42,836,454,573.54/259,751.60
  6. Step 6: Final answer
    x = 164,913.15

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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.