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Finding the Fourth Proportional to 312,340.06, 431,029.56 and 169,100.20

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Solution

The fourth proportional to 312,340.06, 431,029.56 and 169,100.20 is: 233,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,340.06 : 431,029.56 = 169,100.20 : x
  2. Step 2: Convert to fraction form
    312,340.06/431,029.56 = 169,100.20/x
  3. Step 3: Cross multiply
    312,340.06x = 431,029.56 × 169,100.20
  4. Step 4: Simplify right side
    312,340.06x = 72,887,184,801.91
  5. Step 5: Solve for x
    x = 72,887,184,801.91/312,340.06
  6. Step 6: Final answer
    x = 233,358.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.