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Finding the Fourth Proportional to 150,645.84, 207,890.22 and 83,577.84

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Solution

The fourth proportional to 150,645.84, 207,890.22 and 83,577.84 is: 115,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,645.84 : 207,890.22 = 83,577.84 : x
  2. Step 2: Convert to fraction form
    150,645.84/207,890.22 = 83,577.84/x
  3. Step 3: Cross multiply
    150,645.84x = 207,890.22 × 83,577.84
  4. Step 4: Simplify right side
    150,645.84x = 17,375,015,544.72
  5. Step 5: Solve for x
    x = 17,375,015,544.72/150,645.84
  6. Step 6: Final answer
    x = 115,336.84

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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.