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Finding the Fourth Proportional to 188,235.53, 282,293.42 and 61,846.64

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Solution

The fourth proportional to 188,235.53, 282,293.42 and 61,846.64 is: 92,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,235.53 : 282,293.42 = 61,846.64 : x
  2. Step 2: Convert to fraction form
    188,235.53/282,293.42 = 61,846.64/x
  3. Step 3: Cross multiply
    188,235.53x = 282,293.42 × 61,846.64
  4. Step 4: Simplify right side
    188,235.53x = 17,458,899,211.88
  5. Step 5: Solve for x
    x = 17,458,899,211.88/188,235.53
  6. Step 6: Final answer
    x = 92,750.29

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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.