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Finding the Fourth Proportional to 150,397, 207,554.66 and 83,329

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Solution

The fourth proportional to 150,397, 207,554.66 and 83,329 is: 114,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,397 : 207,554.66 = 83,329 : x
  2. Step 2: Convert to fraction form
    150,397/207,554.66 = 83,329/x
  3. Step 3: Cross multiply
    150,397x = 207,554.66 × 83,329
  4. Step 4: Simplify right side
    150,397x = 17,295,322,263.14
  5. Step 5: Solve for x
    x = 17,295,322,263.14/150,397
  6. Step 6: Final answer
    x = 114,997.79

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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.