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Finding the Fourth Proportional to 150,986.00, 208,364.72 and 82,080.11

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Solution

The fourth proportional to 150,986.00, 208,364.72 and 82,080.11 is: 113,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,986.00 : 208,364.72 = 82,080.11 : x
  2. Step 2: Convert to fraction form
    150,986.00/208,364.72 = 82,080.11/x
  3. Step 3: Cross multiply
    150,986.00x = 208,364.72 × 82,080.11
  4. Step 4: Simplify right side
    150,986.00x = 17,102,599,248.23
  5. Step 5: Solve for x
    x = 17,102,599,248.23/150,986.00
  6. Step 6: Final answer
    x = 113,272.75

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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.