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Finding the Fourth Proportional to 201,440.52, 301,902.48 and 83,194.92

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Solution

The fourth proportional to 201,440.52, 301,902.48 and 83,194.92 is: 124,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,440.52 : 301,902.48 = 83,194.92 : x
  2. Step 2: Convert to fraction form
    201,440.52/301,902.48 = 83,194.92/x
  3. Step 3: Cross multiply
    201,440.52x = 301,902.48 × 83,194.92
  4. Step 4: Simplify right side
    201,440.52x = 25,116,752,671.40
  5. Step 5: Solve for x
    x = 25,116,752,671.40/201,440.52
  6. Step 6: Final answer
    x = 124,685.70

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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.