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Finding the Fourth Proportional to 150,571.64, 225,462.90 and 105,956.84

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Solution

The fourth proportional to 150,571.64, 225,462.90 and 105,956.84 is: 158,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,571.64 : 225,462.90 = 105,956.84 : x
  2. Step 2: Convert to fraction form
    150,571.64/225,462.90 = 105,956.84/x
  3. Step 3: Cross multiply
    150,571.64x = 225,462.90 × 105,956.84
  4. Step 4: Simplify right side
    150,571.64x = 23,889,336,421.24
  5. Step 5: Solve for x
    x = 23,889,336,421.24/150,571.64
  6. Step 6: Final answer
    x = 158,657.61

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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.