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Finding the Fourth Proportional to 140,748.38, 194,225.50 and 77,073.88

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Solution

The fourth proportional to 140,748.38, 194,225.50 and 77,073.88 is: 106,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,748.38 : 194,225.50 = 77,073.88 : x
  2. Step 2: Convert to fraction form
    140,748.38/194,225.50 = 77,073.88/x
  3. Step 3: Cross multiply
    140,748.38x = 194,225.50 × 77,073.88
  4. Step 4: Simplify right side
    140,748.38x = 14,969,712,879.94
  5. Step 5: Solve for x
    x = 14,969,712,879.94/140,748.38
  6. Step 6: Final answer
    x = 106,357.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.