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Finding the Fourth Proportional to 189,211.76, 283,799.21 and 76,898.71

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Solution

The fourth proportional to 189,211.76, 283,799.21 and 76,898.71 is: 115,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211.76 : 283,799.21 = 76,898.71 : x
  2. Step 2: Convert to fraction form
    189,211.76/283,799.21 = 76,898.71/x
  3. Step 3: Cross multiply
    189,211.76x = 283,799.21 × 76,898.71
  4. Step 4: Simplify right side
    189,211.76x = 21,823,792,054.03
  5. Step 5: Solve for x
    x = 21,823,792,054.03/189,211.76
  6. Step 6: Final answer
    x = 115,340.57

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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.