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Finding the Fourth Proportional to 133,682.10, 200,523.15 and 83,915.70

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Solution

The fourth proportional to 133,682.10, 200,523.15 and 83,915.70 is: 125,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,682.10 : 200,523.15 = 83,915.70 : x
  2. Step 2: Convert to fraction form
    133,682.10/200,523.15 = 83,915.70/x
  3. Step 3: Cross multiply
    133,682.10x = 200,523.15 × 83,915.70
  4. Step 4: Simplify right side
    133,682.10x = 16,827,040,498.46
  5. Step 5: Solve for x
    x = 16,827,040,498.46/133,682.10
  6. Step 6: Final answer
    x = 125,873.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.