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Finding the Fourth Proportional to 140,384.57, 193,730.22 and 76,722.35

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Solution

The fourth proportional to 140,384.57, 193,730.22 and 76,722.35 is: 105,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,384.57 : 193,730.22 = 76,722.35 : x
  2. Step 2: Convert to fraction form
    140,384.57/193,730.22 = 76,722.35/x
  3. Step 3: Cross multiply
    140,384.57x = 193,730.22 × 76,722.35
  4. Step 4: Simplify right side
    140,384.57x = 14,863,436,775.77
  5. Step 5: Solve for x
    x = 14,863,436,775.77/140,384.57
  6. Step 6: Final answer
    x = 105,876.57

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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.