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Finding the Fourth Proportional to 189,113.14, 283,694.30 and 69,151.41

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Solution

The fourth proportional to 189,113.14, 283,694.30 and 69,151.41 is: 103,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,113.14 : 283,694.30 = 69,151.41 : x
  2. Step 2: Convert to fraction form
    189,113.14/283,694.30 = 69,151.41/x
  3. Step 3: Cross multiply
    189,113.14x = 283,694.30 × 69,151.41
  4. Step 4: Simplify right side
    189,113.14x = 19,617,859,089.73
  5. Step 5: Solve for x
    x = 19,617,859,089.73/189,113.14
  6. Step 6: Final answer
    x = 103,736.10

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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.