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Finding the Fourth Proportional to 140,764.70, 194,425.70 and 102,463.50

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Solution

The fourth proportional to 140,764.70, 194,425.70 and 102,463.50 is: 141,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,764.70 : 194,425.70 = 102,463.50 : x
  2. Step 2: Convert to fraction form
    140,764.70/194,425.70 = 102,463.50/x
  3. Step 3: Cross multiply
    140,764.70x = 194,425.70 × 102,463.50
  4. Step 4: Simplify right side
    140,764.70x = 19,921,537,711.95
  5. Step 5: Solve for x
    x = 19,921,537,711.95/140,764.70
  6. Step 6: Final answer
    x = 141,523.68

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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.