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Finding the Fourth Proportional to 264,602.86, 365,145.81 and 143,741.44

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Solution

The fourth proportional to 264,602.86, 365,145.81 and 143,741.44 is: 198,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,602.86 : 365,145.81 = 143,741.44 : x
  2. Step 2: Convert to fraction form
    264,602.86/365,145.81 = 143,741.44/x
  3. Step 3: Cross multiply
    264,602.86x = 365,145.81 × 143,741.44
  4. Step 4: Simplify right side
    264,602.86x = 52,486,584,539.37
  5. Step 5: Solve for x
    x = 52,486,584,539.37/264,602.86
  6. Step 6: Final answer
    x = 198,359.85

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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.