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Finding the Fourth Proportional to 316,935.24, 475,105.11 and 106,425.55

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Solution

The fourth proportional to 316,935.24, 475,105.11 and 106,425.55 is: 159,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,935.24 : 475,105.11 = 106,425.55 : x
  2. Step 2: Convert to fraction form
    316,935.24/475,105.11 = 106,425.55/x
  3. Step 3: Cross multiply
    316,935.24x = 475,105.11 × 106,425.55
  4. Step 4: Simplify right side
    316,935.24x = 50,563,322,639.56
  5. Step 5: Solve for x
    x = 50,563,322,639.56/316,935.24
  6. Step 6: Final answer
    x = 159,538.34

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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.