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Finding the Fourth Proportional to 100,655.84, 150,819.60 and 61,225.04

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Solution

The fourth proportional to 100,655.84, 150,819.60 and 61,225.04 is: 91,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,655.84 : 150,819.60 = 61,225.04 : x
  2. Step 2: Convert to fraction form
    100,655.84/150,819.60 = 61,225.04/x
  3. Step 3: Cross multiply
    100,655.84x = 150,819.60 × 61,225.04
  4. Step 4: Simplify right side
    100,655.84x = 9,233,936,042.78
  5. Step 5: Solve for x
    x = 9,233,936,042.78/100,655.84
  6. Step 6: Final answer
    x = 91,737.71

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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.