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Finding the Fourth Proportional to 188,560.25, 282,715.52 and 74,632.58

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Solution

The fourth proportional to 188,560.25, 282,715.52 and 74,632.58 is: 111,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,560.25 : 282,715.52 = 74,632.58 : x
  2. Step 2: Convert to fraction form
    188,560.25/282,715.52 = 74,632.58/x
  3. Step 3: Cross multiply
    188,560.25x = 282,715.52 × 74,632.58
  4. Step 4: Simplify right side
    188,560.25x = 21,099,786,876.90
  5. Step 5: Solve for x
    x = 21,099,786,876.90/188,560.25
  6. Step 6: Final answer
    x = 111,899.45

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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.