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Finding the Fourth Proportional to 202,921.74, 280,076.13 and 118,049.94

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Solution

The fourth proportional to 202,921.74, 280,076.13 and 118,049.94 is: 162,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,921.74 : 280,076.13 = 118,049.94 : x
  2. Step 2: Convert to fraction form
    202,921.74/280,076.13 = 118,049.94/x
  3. Step 3: Cross multiply
    202,921.74x = 280,076.13 × 118,049.94
  4. Step 4: Simplify right side
    202,921.74x = 33,062,970,341.93
  5. Step 5: Solve for x
    x = 33,062,970,341.93/202,921.74
  6. Step 6: Final answer
    x = 162,934.59

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Why These Related Problems?

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