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Finding the Fourth Proportional to 149,594.53, 206,459.65 and 85,944.63

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Solution

The fourth proportional to 149,594.53, 206,459.65 and 85,944.63 is: 118,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,594.53 : 206,459.65 = 85,944.63 : x
  2. Step 2: Convert to fraction form
    149,594.53/206,459.65 = 85,944.63/x
  3. Step 3: Cross multiply
    149,594.53x = 206,459.65 × 85,944.63
  4. Step 4: Simplify right side
    149,594.53x = 17,744,098,229.18
  5. Step 5: Solve for x
    x = 17,744,098,229.18/149,594.53
  6. Step 6: Final answer
    x = 118,614.62

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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.