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Finding the Fourth Proportional to 149,853, 206,801.16 and 81,872.84

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Solution

The fourth proportional to 149,853, 206,801.16 and 81,872.84 is: 112,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,853 : 206,801.16 = 81,872.84 : x
  2. Step 2: Convert to fraction form
    149,853/206,801.16 = 81,872.84/x
  3. Step 3: Cross multiply
    149,853x = 206,801.16 × 81,872.84
  4. Step 4: Simplify right side
    149,853x = 16,931,398,284.49
  5. Step 5: Solve for x
    x = 16,931,398,284.49/149,853
  6. Step 6: Final answer
    x = 112,986.72

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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.