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Finding the Fourth Proportional to 140,031.59, 193,243.32 and 76,369.23

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Solution

The fourth proportional to 140,031.59, 193,243.32 and 76,369.23 is: 105,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,031.59 : 193,243.32 = 76,369.23 : x
  2. Step 2: Convert to fraction form
    140,031.59/193,243.32 = 76,369.23/x
  3. Step 3: Cross multiply
    140,031.59x = 193,243.32 × 76,369.23
  4. Step 4: Simplify right side
    140,031.59x = 14,757,843,551.04
  5. Step 5: Solve for x
    x = 14,757,843,551.04/140,031.59
  6. Step 6: Final answer
    x = 105,389.39

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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.