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Finding the Fourth Proportional to 202,981.83, 280,046.66 and 118,029.03

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Solution

The fourth proportional to 202,981.83, 280,046.66 and 118,029.03 is: 162,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,981.83 : 280,046.66 = 118,029.03 : x
  2. Step 2: Convert to fraction form
    202,981.83/280,046.66 = 118,029.03/x
  3. Step 3: Cross multiply
    202,981.83x = 280,046.66 × 118,029.03
  4. Step 4: Simplify right side
    202,981.83x = 33,053,635,044.39
  5. Step 5: Solve for x
    x = 33,053,635,044.39/202,981.83
  6. Step 6: Final answer
    x = 162,840.36

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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.