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Finding the Fourth Proportional to 150,299, 207,419.14 and 83,231

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Solution

The fourth proportional to 150,299, 207,419.14 and 83,231 is: 114,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,299 : 207,419.14 = 83,231 : x
  2. Step 2: Convert to fraction form
    150,299/207,419.14 = 83,231/x
  3. Step 3: Cross multiply
    150,299x = 207,419.14 × 83,231
  4. Step 4: Simplify right side
    150,299x = 17,263,702,441.34
  5. Step 5: Solve for x
    x = 17,263,702,441.34/150,299
  6. Step 6: Final answer
    x = 114,862.39

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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.