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Finding the Fourth Proportional to 202,122, 303,053.40 and 83,874.96

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Solution

The fourth proportional to 202,122, 303,053.40 and 83,874.96 is: 125,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,122 : 303,053.40 = 83,874.96 : x
  2. Step 2: Convert to fraction form
    202,122/303,053.40 = 83,874.96/x
  3. Step 3: Cross multiply
    202,122x = 303,053.40 × 83,874.96
  4. Step 4: Simplify right side
    202,122x = 25,418,591,802.86
  5. Step 5: Solve for x
    x = 25,418,591,802.86/202,122
  6. Step 6: Final answer
    x = 125,758.66

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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.