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Finding the Fourth Proportional to 192,881.40, 289,322.10 and 68,206.20

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Solution

The fourth proportional to 192,881.40, 289,322.10 and 68,206.20 is: 102,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,881.40 : 289,322.10 = 68,206.20 : x
  2. Step 2: Convert to fraction form
    192,881.40/289,322.10 = 68,206.20/x
  3. Step 3: Cross multiply
    192,881.40x = 289,322.10 × 68,206.20
  4. Step 4: Simplify right side
    192,881.40x = 19,733,561,017.02
  5. Step 5: Solve for x
    x = 19,733,561,017.02/192,881.40
  6. Step 6: Final answer
    x = 102,309.30

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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.