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Finding the Fourth Proportional to 253,640.80, 350,024.16 and 140,463.46

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Solution

The fourth proportional to 253,640.80, 350,024.16 and 140,463.46 is: 193,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,640.80 : 350,024.16 = 140,463.46 : x
  2. Step 2: Convert to fraction form
    253,640.80/350,024.16 = 140,463.46/x
  3. Step 3: Cross multiply
    253,640.80x = 350,024.16 × 140,463.46
  4. Step 4: Simplify right side
    253,640.80x = 49,165,604,597.19
  5. Step 5: Solve for x
    x = 49,165,604,597.19/253,640.80
  6. Step 6: Final answer
    x = 193,839.50

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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.