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Finding the Fourth Proportional to 264,702.26, 365,287.92 and 143,841.26

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Solution

The fourth proportional to 264,702.26, 365,287.92 and 143,841.26 is: 198,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,702.26 : 365,287.92 = 143,841.26 : x
  2. Step 2: Convert to fraction form
    264,702.26/365,287.92 = 143,841.26/x
  3. Step 3: Cross multiply
    264,702.26x = 365,287.92 × 143,841.26
  4. Step 4: Simplify right side
    264,702.26x = 52,543,474,675.58
  5. Step 5: Solve for x
    x = 52,543,474,675.58/264,702.26
  6. Step 6: Final answer
    x = 198,500.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.