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Finding the Fourth Proportional to 275,898.42, 413,637.84 and 142,693.83

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Solution

The fourth proportional to 275,898.42, 413,637.84 and 142,693.83 is: 213,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,898.42 : 413,637.84 = 142,693.83 : x
  2. Step 2: Convert to fraction form
    275,898.42/413,637.84 = 142,693.83/x
  3. Step 3: Cross multiply
    275,898.42x = 413,637.84 × 142,693.83
  4. Step 4: Simplify right side
    275,898.42x = 59,023,567,622.53
  5. Step 5: Solve for x
    x = 59,023,567,622.53/275,898.42
  6. Step 6: Final answer
    x = 213,932.24

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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.