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Finding the Fourth Proportional to 140,663.71, 194,116.45 and 77,007.43

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Solution

The fourth proportional to 140,663.71, 194,116.45 and 77,007.43 is: 106,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,663.71 : 194,116.45 = 77,007.43 : x
  2. Step 2: Convert to fraction form
    140,663.71/194,116.45 = 77,007.43/x
  3. Step 3: Cross multiply
    140,663.71x = 194,116.45 × 77,007.43
  4. Step 4: Simplify right side
    140,663.71x = 14,948,408,935.22
  5. Step 5: Solve for x
    x = 14,948,408,935.22/140,663.71
  6. Step 6: Final answer
    x = 106,270.54

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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.