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Finding the Fourth Proportional to 253,285.18, 349,499.31 and 144,403.56

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Solution

The fourth proportional to 253,285.18, 349,499.31 and 144,403.56 is: 199,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,285.18 : 349,499.31 = 144,403.56 : x
  2. Step 2: Convert to fraction form
    253,285.18/349,499.31 = 144,403.56/x
  3. Step 3: Cross multiply
    253,285.18x = 349,499.31 × 144,403.56
  4. Step 4: Simplify right side
    253,285.18x = 50,468,944,040.03
  5. Step 5: Solve for x
    x = 50,468,944,040.03/253,285.18
  6. Step 6: Final answer
    x = 199,257.39

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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.