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Finding the Fourth Proportional to 188,948.77, 283,418.43 and 76,598.95

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Solution

The fourth proportional to 188,948.77, 283,418.43 and 76,598.95 is: 114,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,948.77 : 283,418.43 = 76,598.95 : x
  2. Step 2: Convert to fraction form
    188,948.77/283,418.43 = 76,598.95/x
  3. Step 3: Cross multiply
    188,948.77x = 283,418.43 × 76,598.95
  4. Step 4: Simplify right side
    188,948.77x = 21,709,554,148.65
  5. Step 5: Solve for x
    x = 21,709,554,148.65/188,948.77
  6. Step 6: Final answer
    x = 114,896.51

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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.