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Finding the Fourth Proportional to 150,646.92, 226,006.92 and 45,459.60

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Solution

The fourth proportional to 150,646.92, 226,006.92 and 45,459.60 is: 68,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,646.92 : 226,006.92 = 45,459.60 : x
  2. Step 2: Convert to fraction form
    150,646.92/226,006.92 = 45,459.60/x
  3. Step 3: Cross multiply
    150,646.92x = 226,006.92 × 45,459.60
  4. Step 4: Simplify right side
    150,646.92x = 10,274,184,180.43
  5. Step 5: Solve for x
    x = 10,274,184,180.43/150,646.92
  6. Step 6: Final answer
    x = 68,200.43

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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.