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Finding the Fourth Proportional to 188,190.66, 282,119.60 and 144,014.61

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Solution

The fourth proportional to 188,190.66, 282,119.60 and 144,014.61 is: 215,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,190.66 : 282,119.60 = 144,014.61 : x
  2. Step 2: Convert to fraction form
    188,190.66/282,119.60 = 144,014.61/x
  3. Step 3: Cross multiply
    188,190.66x = 282,119.60 × 144,014.61
  4. Step 4: Simplify right side
    188,190.66x = 40,629,344,527.39
  5. Step 5: Solve for x
    x = 40,629,344,527.39/188,190.66
  6. Step 6: Final answer
    x = 215,894.59

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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.