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Finding the Fourth Proportional to 150,161, 207,228.66 and 83,093

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Solution

The fourth proportional to 150,161, 207,228.66 and 83,093 is: 114,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,161 : 207,228.66 = 83,093 : x
  2. Step 2: Convert to fraction form
    150,161/207,228.66 = 83,093/x
  3. Step 3: Cross multiply
    150,161x = 207,228.66 × 83,093
  4. Step 4: Simplify right side
    150,161x = 17,219,251,045.38
  5. Step 5: Solve for x
    x = 17,219,251,045.38/150,161
  6. Step 6: Final answer
    x = 114,671.93

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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.