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Finding the Fourth Proportional to 150,894.56, 225,997.36 and 72,064.15

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Solution

The fourth proportional to 150,894.56, 225,997.36 and 72,064.15 is: 107,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,894.56 : 225,997.36 = 72,064.15 : x
  2. Step 2: Convert to fraction form
    150,894.56/225,997.36 = 72,064.15/x
  3. Step 3: Cross multiply
    150,894.56x = 225,997.36 × 72,064.15
  4. Step 4: Simplify right side
    150,894.56x = 16,286,306,905.49
  5. Step 5: Solve for x
    x = 16,286,306,905.49/150,894.56
  6. Step 6: Final answer
    x = 107,931.70

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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.