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Finding the Fourth Proportional to 150,461.76, 225,696.96 and 39,653.76

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Solution

The fourth proportional to 150,461.76, 225,696.96 and 39,653.76 is: 59,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,461.76 : 225,696.96 = 39,653.76 : x
  2. Step 2: Convert to fraction form
    150,461.76/225,696.96 = 39,653.76/x
  3. Step 3: Cross multiply
    150,461.76x = 225,696.96 × 39,653.76
  4. Step 4: Simplify right side
    150,461.76x = 8,949,733,084.57
  5. Step 5: Solve for x
    x = 8,949,733,084.57/150,461.76
  6. Step 6: Final answer
    x = 59,481.78

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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.