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Finding the Fourth Proportional to 264,453.45, 364,894.43 and 157,057.17

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Solution

The fourth proportional to 264,453.45, 364,894.43 and 157,057.17 is: 216,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,453.45 : 364,894.43 = 157,057.17 : x
  2. Step 2: Convert to fraction form
    264,453.45/364,894.43 = 157,057.17/x
  3. Step 3: Cross multiply
    264,453.45x = 364,894.43 × 157,057.17
  4. Step 4: Simplify right side
    264,453.45x = 57,309,286,524.56
  5. Step 5: Solve for x
    x = 57,309,286,524.56/264,453.45
  6. Step 6: Final answer
    x = 216,708.41

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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.