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Finding the Fourth Proportional to 150,603.70, 207,832.26 and 82,618.93

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Solution

The fourth proportional to 150,603.70, 207,832.26 and 82,618.93 is: 114,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,603.70 : 207,832.26 = 82,618.93 : x
  2. Step 2: Convert to fraction form
    150,603.70/207,832.26 = 82,618.93/x
  3. Step 3: Cross multiply
    150,603.70x = 207,832.26 × 82,618.93
  4. Step 4: Simplify right side
    150,603.70x = 17,170,878,940.68
  5. Step 5: Solve for x
    x = 17,170,878,940.68/150,603.70
  6. Step 6: Final answer
    x = 114,013.66

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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.