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Finding the Fourth Proportional to 150,713.88, 207,942.54 and 97,029.96

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Solution

The fourth proportional to 150,713.88, 207,942.54 and 97,029.96 is: 133,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,713.88 : 207,942.54 = 97,029.96 : x
  2. Step 2: Convert to fraction form
    150,713.88/207,942.54 = 97,029.96/x
  3. Step 3: Cross multiply
    150,713.88x = 207,942.54 × 97,029.96
  4. Step 4: Simplify right side
    150,713.88x = 20,176,656,338.50
  5. Step 5: Solve for x
    x = 20,176,656,338.50/150,713.88
  6. Step 6: Final answer
    x = 133,873.91

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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.