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Finding the Fourth Proportional to 201,102.36, 277,701.40 and 150,026.39

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Solution

The fourth proportional to 201,102.36, 277,701.40 and 150,026.39 is: 207,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,102.36 : 277,701.40 = 150,026.39 : x
  2. Step 2: Convert to fraction form
    201,102.36/277,701.40 = 150,026.39/x
  3. Step 3: Cross multiply
    201,102.36x = 277,701.40 × 150,026.39
  4. Step 4: Simplify right side
    201,102.36x = 41,662,536,755.42
  5. Step 5: Solve for x
    x = 41,662,536,755.42/201,102.36
  6. Step 6: Final answer
    x = 207,170.80

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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.