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Finding the Fourth Proportional to 188,949.77, 283,419.93 and 76,599.95

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Solution

The fourth proportional to 188,949.77, 283,419.93 and 76,599.95 is: 114,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,949.77 : 283,419.93 = 76,599.95 : x
  2. Step 2: Convert to fraction form
    188,949.77/283,419.93 = 76,599.95/x
  3. Step 3: Cross multiply
    188,949.77x = 283,419.93 × 76,599.95
  4. Step 4: Simplify right side
    188,949.77x = 21,709,952,467.00
  5. Step 5: Solve for x
    x = 21,709,952,467.00/188,949.77
  6. Step 6: Final answer
    x = 114,898.01

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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.