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Finding the Fourth Proportional to 150,296.50, 225,479.31 and 51,800.50

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Solution

The fourth proportional to 150,296.50, 225,479.31 and 51,800.50 is: 77,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,296.50 : 225,479.31 = 51,800.50 : x
  2. Step 2: Convert to fraction form
    150,296.50/225,479.31 = 51,800.50/x
  3. Step 3: Cross multiply
    150,296.50x = 225,479.31 × 51,800.50
  4. Step 4: Simplify right side
    150,296.50x = 11,679,940,997.66
  5. Step 5: Solve for x
    x = 11,679,940,997.66/150,296.50
  6. Step 6: Final answer
    x = 77,712.66

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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.