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Finding the Fourth Proportional to 149,988.25, 206,988.11 and 82,924.57

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Solution

The fourth proportional to 149,988.25, 206,988.11 and 82,924.57 is: 114,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,988.25 : 206,988.11 = 82,924.57 : x
  2. Step 2: Convert to fraction form
    149,988.25/206,988.11 = 82,924.57/x
  3. Step 3: Cross multiply
    149,988.25x = 206,988.11 × 82,924.57
  4. Step 4: Simplify right side
    149,988.25x = 17,164,399,602.24
  5. Step 5: Solve for x
    x = 17,164,399,602.24/149,988.25
  6. Step 6: Final answer
    x = 114,438.30

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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.