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Finding the Fourth Proportional to 188,246.10, 282,404.13 and 61,893.42

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Solution

The fourth proportional to 188,246.10, 282,404.13 and 61,893.42 is: 92,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,246.10 : 282,404.13 = 61,893.42 : x
  2. Step 2: Convert to fraction form
    188,246.10/282,404.13 = 61,893.42/x
  3. Step 3: Cross multiply
    188,246.10x = 282,404.13 × 61,893.42
  4. Step 4: Simplify right side
    188,246.10x = 17,478,957,427.82
  5. Step 5: Solve for x
    x = 17,478,957,427.82/188,246.10
  6. Step 6: Final answer
    x = 92,851.63

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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.