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Finding the Fourth Proportional to 150,117, 207,168 and 83,049

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Solution

The fourth proportional to 150,117, 207,168 and 83,049 is: 114,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,117 : 207,168 = 83,049 : x
  2. Step 2: Convert to fraction form
    150,117/207,168 = 83,049/x
  3. Step 3: Cross multiply
    150,117x = 207,168 × 83,049
  4. Step 4: Simplify right side
    150,117x = 17,205,095,232
  5. Step 5: Solve for x
    x = 17,205,095,232/150,117
  6. Step 6: Final answer
    x = 114,611.24

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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.