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Finding the Fourth Proportional to 204,071.90, 305,962.05 and 91,660.10

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Solution

The fourth proportional to 204,071.90, 305,962.05 and 91,660.10 is: 137,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,071.90 : 305,962.05 = 91,660.10 : x
  2. Step 2: Convert to fraction form
    204,071.90/305,962.05 = 91,660.10/x
  3. Step 3: Cross multiply
    204,071.90x = 305,962.05 × 91,660.10
  4. Step 4: Simplify right side
    204,071.90x = 28,044,512,099.21
  5. Step 5: Solve for x
    x = 28,044,512,099.21/204,071.90
  6. Step 6: Final answer
    x = 137,424.66

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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.