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Finding the Fourth Proportional to 150,627.96, 225,784.25 and 50,753.64

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Solution

The fourth proportional to 150,627.96, 225,784.25 and 50,753.64 is: 76,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,627.96 : 225,784.25 = 50,753.64 : x
  2. Step 2: Convert to fraction form
    150,627.96/225,784.25 = 50,753.64/x
  3. Step 3: Cross multiply
    150,627.96x = 225,784.25 × 50,753.64
  4. Step 4: Simplify right side
    150,627.96x = 11,459,372,542.17
  5. Step 5: Solve for x
    x = 11,459,372,542.17/150,627.96
  6. Step 6: Final answer
    x = 76,077.33

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1.5x scale

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.