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Finding the Fourth Proportional to 253,144.71, 349,327.42 and 144,274.53

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Solution

The fourth proportional to 253,144.71, 349,327.42 and 144,274.53 is: 199,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,144.71 : 349,327.42 = 144,274.53 : x
  2. Step 2: Convert to fraction form
    253,144.71/349,327.42 = 144,274.53/x
  3. Step 3: Cross multiply
    253,144.71x = 349,327.42 × 144,274.53
  4. Step 4: Simplify right side
    253,144.71x = 50,399,050,285.90
  5. Step 5: Solve for x
    x = 50,399,050,285.90/253,144.71
  6. Step 6: Final answer
    x = 199,091.86

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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.