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Finding the Fourth Proportional to 150,684.57, 207,945.09 and 82,702.08

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Solution

The fourth proportional to 150,684.57, 207,945.09 and 82,702.08 is: 114,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,684.57 : 207,945.09 = 82,702.08 : x
  2. Step 2: Convert to fraction form
    150,684.57/207,945.09 = 82,702.08/x
  3. Step 3: Cross multiply
    150,684.57x = 207,945.09 × 82,702.08
  4. Step 4: Simplify right side
    150,684.57x = 17,197,491,468.79
  5. Step 5: Solve for x
    x = 17,197,491,468.79/150,684.57
  6. Step 6: Final answer
    x = 114,129.08

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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.