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Finding the Fourth Proportional to 262,251.36, 393,088.43 and 149,685.86

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Solution

The fourth proportional to 262,251.36, 393,088.43 and 149,685.86 is: 224,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,251.36 : 393,088.43 = 149,685.86 : x
  2. Step 2: Convert to fraction form
    262,251.36/393,088.43 = 149,685.86/x
  3. Step 3: Cross multiply
    262,251.36x = 393,088.43 × 149,685.86
  4. Step 4: Simplify right side
    262,251.36x = 58,839,781,057.54
  5. Step 5: Solve for x
    x = 58,839,781,057.54/262,251.36
  6. Step 6: Final answer
    x = 224,364.06

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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.