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Finding the Fourth Proportional to 316,768.15, 475,157.09 and 106,407.91

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Solution

The fourth proportional to 316,768.15, 475,157.09 and 106,407.91 is: 159,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,768.15 : 475,157.09 = 106,407.91 : x
  2. Step 2: Convert to fraction form
    316,768.15/475,157.09 = 106,407.91/x
  3. Step 3: Cross multiply
    316,768.15x = 475,157.09 × 106,407.91
  4. Step 4: Simplify right side
    316,768.15x = 50,560,472,336.54
  5. Step 5: Solve for x
    x = 50,560,472,336.54/316,768.15
  6. Step 6: Final answer
    x = 159,613.50

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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.