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Finding the Fourth Proportional to 190,757.80, 286,266.30 and 106,517.80

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Solution

The fourth proportional to 190,757.80, 286,266.30 and 106,517.80 is: 159,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,757.80 : 286,266.30 = 106,517.80 : x
  2. Step 2: Convert to fraction form
    190,757.80/286,266.30 = 106,517.80/x
  3. Step 3: Cross multiply
    190,757.80x = 286,266.30 × 106,517.80
  4. Step 4: Simplify right side
    190,757.80x = 30,492,456,490.14
  5. Step 5: Solve for x
    x = 30,492,456,490.14/190,757.80
  6. Step 6: Final answer
    x = 159,849.07

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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.