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Finding the Fourth Proportional to 150,383.97, 207,529.76 and 82,405.17

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Solution

The fourth proportional to 150,383.97, 207,529.76 and 82,405.17 is: 113,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,383.97 : 207,529.76 = 82,405.17 : x
  2. Step 2: Convert to fraction form
    150,383.97/207,529.76 = 82,405.17/x
  3. Step 3: Cross multiply
    150,383.97x = 207,529.76 × 82,405.17
  4. Step 4: Simplify right side
    150,383.97x = 17,101,525,152.86
  5. Step 5: Solve for x
    x = 17,101,525,152.86/150,383.97
  6. Step 6: Final answer
    x = 113,719.07

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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.