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Finding the Fourth Proportional to 198,645.63, 297,977.62 and 65,537.52

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Solution

The fourth proportional to 198,645.63, 297,977.62 and 65,537.52 is: 98,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,645.63 : 297,977.62 = 65,537.52 : x
  2. Step 2: Convert to fraction form
    198,645.63/297,977.62 = 65,537.52/x
  3. Step 3: Cross multiply
    198,645.63x = 297,977.62 × 65,537.52
  4. Step 4: Simplify right side
    198,645.63x = 19,528,714,230.30
  5. Step 5: Solve for x
    x = 19,528,714,230.30/198,645.63
  6. Step 6: Final answer
    x = 98,309.31

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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.