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Finding the Fourth Proportional to 180,643.14, 270,817.02 and 68,259.69

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Solution

The fourth proportional to 180,643.14, 270,817.02 and 68,259.69 is: 102,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,643.14 : 270,817.02 = 68,259.69 : x
  2. Step 2: Convert to fraction form
    180,643.14/270,817.02 = 68,259.69/x
  3. Step 3: Cross multiply
    180,643.14x = 270,817.02 × 68,259.69
  4. Step 4: Simplify right side
    180,643.14x = 18,485,885,831.92
  5. Step 5: Solve for x
    x = 18,485,885,831.92/180,643.14
  6. Step 6: Final answer
    x = 102,333.73

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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.