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Finding the Fourth Proportional to 140,423.70, 196,943.10 and 140,423.70

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Solution

The fourth proportional to 140,423.70, 196,943.10 and 140,423.70 is: 196,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,423.70 : 196,943.10 = 140,423.70 : x
  2. Step 2: Convert to fraction form
    140,423.70/196,943.10 = 140,423.70/x
  3. Step 3: Cross multiply
    140,423.70x = 196,943.10 × 140,423.70
  4. Step 4: Simplify right side
    140,423.70x = 27,655,478,791.47
  5. Step 5: Solve for x
    x = 27,655,478,791.47/140,423.70
  6. Step 6: Final answer
    x = 196,943.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.