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Finding the Fourth Proportional to 140,012.88, 193,222.44 and 76,354.17

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Solution

The fourth proportional to 140,012.88, 193,222.44 and 76,354.17 is: 105,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,012.88 : 193,222.44 = 76,354.17 : x
  2. Step 2: Convert to fraction form
    140,012.88/193,222.44 = 76,354.17/x
  3. Step 3: Cross multiply
    140,012.88x = 193,222.44 × 76,354.17
  4. Step 4: Simplify right side
    140,012.88x = 14,753,339,031.57
  5. Step 5: Solve for x
    x = 14,753,339,031.57/140,012.88
  6. Step 6: Final answer
    x = 105,371.30

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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.