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Finding the Fourth Proportional to 316,512.77, 474,769.16 and 106,150.10

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Solution

The fourth proportional to 316,512.77, 474,769.16 and 106,150.10 is: 159,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,512.77 : 474,769.16 = 106,150.10 : x
  2. Step 2: Convert to fraction form
    316,512.77/474,769.16 = 106,150.10/x
  3. Step 3: Cross multiply
    316,512.77x = 474,769.16 × 106,150.10
  4. Step 4: Simplify right side
    316,512.77x = 50,396,790,906.32
  5. Step 5: Solve for x
    x = 50,396,790,906.32/316,512.77
  6. Step 6: Final answer
    x = 159,225.15

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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.