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Finding the Fourth Proportional to 149,564.88, 206,390.16 and 85,857.84

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Solution

The fourth proportional to 149,564.88, 206,390.16 and 85,857.84 is: 118,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,564.88 : 206,390.16 = 85,857.84 : x
  2. Step 2: Convert to fraction form
    149,564.88/206,390.16 = 85,857.84/x
  3. Step 3: Cross multiply
    149,564.88x = 206,390.16 × 85,857.84
  4. Step 4: Simplify right side
    149,564.88x = 17,720,213,334.85
  5. Step 5: Solve for x
    x = 17,720,213,334.85/149,564.88
  6. Step 6: Final answer
    x = 118,478.44

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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.