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Finding the Fourth Proportional to 150,186, 225,104.04 and 83,594.28

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Solution

The fourth proportional to 150,186, 225,104.04 and 83,594.28 is: 125,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,186 : 225,104.04 = 83,594.28 : x
  2. Step 2: Convert to fraction form
    150,186/225,104.04 = 83,594.28/x
  3. Step 3: Cross multiply
    150,186x = 225,104.04 × 83,594.28
  4. Step 4: Simplify right side
    150,186x = 18,817,410,148.89
  5. Step 5: Solve for x
    x = 18,817,410,148.89/150,186
  6. Step 6: Final answer
    x = 125,294.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.