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Finding the Fourth Proportional to 100,731.94, 151,097.94 and 25,852.10

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Solution

The fourth proportional to 100,731.94, 151,097.94 and 25,852.10 is: 38,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,731.94 : 151,097.94 = 25,852.10 : x
  2. Step 2: Convert to fraction form
    100,731.94/151,097.94 = 25,852.10/x
  3. Step 3: Cross multiply
    100,731.94x = 151,097.94 × 25,852.10
  4. Step 4: Simplify right side
    100,731.94x = 3,906,198,299.18
  5. Step 5: Solve for x
    x = 3,906,198,299.18/100,731.94
  6. Step 6: Final answer
    x = 38,778.15

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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.