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Finding the Fourth Proportional to 190,109.60, 284,857.20 and 119,863.20

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Solution

The fourth proportional to 190,109.60, 284,857.20 and 119,863.20 is: 179,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,109.60 : 284,857.20 = 119,863.20 : x
  2. Step 2: Convert to fraction form
    190,109.60/284,857.20 = 119,863.20/x
  3. Step 3: Cross multiply
    190,109.60x = 284,857.20 × 119,863.20
  4. Step 4: Simplify right side
    190,109.60x = 34,143,895,535.04
  5. Step 5: Solve for x
    x = 34,143,895,535.04/190,109.60
  6. Step 6: Final answer
    x = 179,601.11

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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.