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Finding the Fourth Proportional to 150,657.96, 225,829.23 and 50,783.61

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Solution

The fourth proportional to 150,657.96, 225,829.23 and 50,783.61 is: 76,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,657.96 : 225,829.23 = 50,783.61 : x
  2. Step 2: Convert to fraction form
    150,657.96/225,829.23 = 50,783.61/x
  3. Step 3: Cross multiply
    150,657.96x = 225,829.23 × 50,783.61
  4. Step 4: Simplify right side
    150,657.96x = 11,468,423,542.92
  5. Step 5: Solve for x
    x = 11,468,423,542.92/150,657.96
  6. Step 6: Final answer
    x = 76,122.25

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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.