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Finding the Fourth Proportional to 140,697.32, 194,141.39 and 85,477.98

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Solution

The fourth proportional to 140,697.32, 194,141.39 and 85,477.98 is: 117,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,697.32 : 194,141.39 = 85,477.98 : x
  2. Step 2: Convert to fraction form
    140,697.32/194,141.39 = 85,477.98/x
  3. Step 3: Cross multiply
    140,697.32x = 194,141.39 × 85,477.98
  4. Step 4: Simplify right side
    140,697.32x = 16,594,813,424.20
  5. Step 5: Solve for x
    x = 16,594,813,424.20/140,697.32
  6. Step 6: Final answer
    x = 117,946.90

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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.