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Finding the Fourth Proportional to 201,195.76, 277,648.68 and 109,314.22

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Solution

The fourth proportional to 201,195.76, 277,648.68 and 109,314.22 is: 150,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,195.76 : 277,648.68 = 109,314.22 : x
  2. Step 2: Convert to fraction form
    201,195.76/277,648.68 = 109,314.22/x
  3. Step 3: Cross multiply
    201,195.76x = 277,648.68 × 109,314.22
  4. Step 4: Simplify right side
    201,195.76x = 30,350,948,888.23
  5. Step 5: Solve for x
    x = 30,350,948,888.23/201,195.76
  6. Step 6: Final answer
    x = 150,852.83

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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.