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Finding the Fourth Proportional to 149,854.96, 206,805.84 and 86,192.72

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Solution

The fourth proportional to 149,854.96, 206,805.84 and 86,192.72 is: 118,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,854.96 : 206,805.84 = 86,192.72 : x
  2. Step 2: Convert to fraction form
    149,854.96/206,805.84 = 86,192.72/x
  3. Step 3: Cross multiply
    149,854.96x = 206,805.84 × 86,192.72
  4. Step 4: Simplify right side
    149,854.96x = 17,825,157,861.48
  5. Step 5: Solve for x
    x = 17,825,157,861.48/149,854.96
  6. Step 6: Final answer
    x = 118,949.40

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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.