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Finding the Fourth Proportional to 150,264.75, 207,371.84 and 83,196.75

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Solution

The fourth proportional to 150,264.75, 207,371.84 and 83,196.75 is: 114,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264.75 : 207,371.84 = 83,196.75 : x
  2. Step 2: Convert to fraction form
    150,264.75/207,371.84 = 83,196.75/x
  3. Step 3: Cross multiply
    150,264.75x = 207,371.84 × 83,196.75
  4. Step 4: Simplify right side
    150,264.75x = 17,252,662,713.54
  5. Step 5: Solve for x
    x = 17,252,662,713.54/150,264.75
  6. Step 6: Final answer
    x = 114,815.10

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1.5x scale

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.