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Finding the Fourth Proportional to 316,887.06, 475,231.34 and 106,475.78

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Solution

The fourth proportional to 316,887.06, 475,231.34 and 106,475.78 is: 159,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,887.06 : 475,231.34 = 106,475.78 : x
  2. Step 2: Convert to fraction form
    316,887.06/475,231.34 = 106,475.78/x
  3. Step 3: Cross multiply
    316,887.06x = 475,231.34 × 106,475.78
  4. Step 4: Simplify right side
    316,887.06x = 50,600,627,606.95
  5. Step 5: Solve for x
    x = 50,600,627,606.95/316,887.06
  6. Step 6: Final answer
    x = 159,680.32

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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.