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Finding the Fourth Proportional to 192,706.90, 289,062.17 and 86,096.22

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Solution

The fourth proportional to 192,706.90, 289,062.17 and 86,096.22 is: 129,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,706.90 : 289,062.17 = 86,096.22 : x
  2. Step 2: Convert to fraction form
    192,706.90/289,062.17 = 86,096.22/x
  3. Step 3: Cross multiply
    192,706.90x = 289,062.17 × 86,096.22
  4. Step 4: Simplify right side
    192,706.90x = 24,887,158,990.39
  5. Step 5: Solve for x
    x = 24,887,158,990.39/192,706.90
  6. Step 6: Final answer
    x = 129,145.14

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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.