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Finding the Fourth Proportional to 264,703.76, 365,289.99 and 143,842.76

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Solution

The fourth proportional to 264,703.76, 365,289.99 and 143,842.76 is: 198,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,703.76 : 365,289.99 = 143,842.76 : x
  2. Step 2: Convert to fraction form
    264,703.76/365,289.99 = 143,842.76/x
  3. Step 3: Cross multiply
    264,703.76x = 365,289.99 × 143,842.76
  4. Step 4: Simplify right side
    264,703.76x = 52,544,320,361.97
  5. Step 5: Solve for x
    x = 52,544,320,361.97/264,703.76
  6. Step 6: Final answer
    x = 198,502.36

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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.