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Finding the Fourth Proportional to 150,760.30, 208,006.74 and 97,076.38

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Solution

The fourth proportional to 150,760.30, 208,006.74 and 97,076.38 is: 133,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,760.30 : 208,006.74 = 97,076.38 : x
  2. Step 2: Convert to fraction form
    150,760.30/208,006.74 = 97,076.38/x
  3. Step 3: Cross multiply
    150,760.30x = 208,006.74 × 97,076.38
  4. Step 4: Simplify right side
    150,760.30x = 20,192,541,334.80
  5. Step 5: Solve for x
    x = 20,192,541,334.80/150,760.30
  6. Step 6: Final answer
    x = 133,938.05

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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.