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Finding the Fourth Proportional to 150,264, 225,473.76 and 76,392

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Solution

The fourth proportional to 150,264, 225,473.76 and 76,392 is: 114,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264 : 225,473.76 = 76,392 : x
  2. Step 2: Convert to fraction form
    150,264/225,473.76 = 76,392/x
  3. Step 3: Cross multiply
    150,264x = 225,473.76 × 76,392
  4. Step 4: Simplify right side
    150,264x = 17,224,391,473.92
  5. Step 5: Solve for x
    x = 17,224,391,473.92/150,264
  6. Step 6: Final answer
    x = 114,627.53

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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.