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Finding the Fourth Proportional to 188,354.68, 282,500.97 and 61,996.57

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Solution

The fourth proportional to 188,354.68, 282,500.97 and 61,996.57 is: 92,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,354.68 : 282,500.97 = 61,996.57 : x
  2. Step 2: Convert to fraction form
    188,354.68/282,500.97 = 61,996.57/x
  3. Step 3: Cross multiply
    188,354.68x = 282,500.97 × 61,996.57
  4. Step 4: Simplify right side
    188,354.68x = 17,514,091,161.67
  5. Step 5: Solve for x
    x = 17,514,091,161.67/188,354.68
  6. Step 6: Final answer
    x = 92,984.63

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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.