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Finding the Fourth Proportional to 227,160.77, 313,263.24 and 149,497.49

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Solution

The fourth proportional to 227,160.77, 313,263.24 and 149,497.49 is: 206,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,160.77 : 313,263.24 = 149,497.49 : x
  2. Step 2: Convert to fraction form
    227,160.77/313,263.24 = 149,497.49/x
  3. Step 3: Cross multiply
    227,160.77x = 313,263.24 × 149,497.49
  4. Step 4: Simplify right side
    227,160.77x = 46,832,068,872.43
  5. Step 5: Solve for x
    x = 46,832,068,872.43/227,160.77
  6. Step 6: Final answer
    x = 206,162.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.