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Finding the Fourth Proportional to 186,857.70, 280,286.55 and 144,867.30

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Solution

The fourth proportional to 186,857.70, 280,286.55 and 144,867.30 is: 217,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,857.70 : 280,286.55 = 144,867.30 : x
  2. Step 2: Convert to fraction form
    186,857.70/280,286.55 = 144,867.30/x
  3. Step 3: Cross multiply
    186,857.70x = 280,286.55 × 144,867.30
  4. Step 4: Simplify right side
    186,857.70x = 40,604,355,724.82
  5. Step 5: Solve for x
    x = 40,604,355,724.82/186,857.70
  6. Step 6: Final answer
    x = 217,300.95

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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.