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Finding the Fourth Proportional to 264,705.86, 365,293.31 and 143,847.18

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Solution

The fourth proportional to 264,705.86, 365,293.31 and 143,847.18 is: 198,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,705.86 : 365,293.31 = 143,847.18 : x
  2. Step 2: Convert to fraction form
    264,705.86/365,293.31 = 143,847.18/x
  3. Step 3: Cross multiply
    264,705.86x = 365,293.31 × 143,847.18
  4. Step 4: Simplify right side
    264,705.86x = 52,546,411,797.13
  5. Step 5: Solve for x
    x = 52,546,411,797.13/264,705.86
  6. Step 6: Final answer
    x = 198,508.69

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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.