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Finding the Fourth Proportional to 253,835.74, 350,292.59 and 140,658.49

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Solution

The fourth proportional to 253,835.74, 350,292.59 and 140,658.49 is: 194,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,835.74 : 350,292.59 = 140,658.49 : x
  2. Step 2: Convert to fraction form
    253,835.74/350,292.59 = 140,658.49/x
  3. Step 3: Cross multiply
    253,835.74x = 350,292.59 × 140,658.49
  4. Step 4: Simplify right side
    253,835.74x = 49,271,625,716.03
  5. Step 5: Solve for x
    x = 49,271,625,716.03/253,835.74
  6. Step 6: Final answer
    x = 194,108.31

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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.