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Finding the Fourth Proportional to 140,031.39, 193,241.37 and 76,369.17

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Solution

The fourth proportional to 140,031.39, 193,241.37 and 76,369.17 is: 105,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,031.39 : 193,241.37 = 76,369.17 : x
  2. Step 2: Convert to fraction form
    140,031.39/193,241.37 = 76,369.17/x
  3. Step 3: Cross multiply
    140,031.39x = 193,241.37 × 76,369.17
  4. Step 4: Simplify right side
    140,031.39x = 14,757,683,036.56
  5. Step 5: Solve for x
    x = 14,757,683,036.56/140,031.39
  6. Step 6: Final answer
    x = 105,388.39

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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.