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Finding the Fourth Proportional to 102,096.44, 140,860.58 and 61,797.32

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Solution

The fourth proportional to 102,096.44, 140,860.58 and 61,797.32 is: 85,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096.44 : 140,860.58 = 61,797.32 : x
  2. Step 2: Convert to fraction form
    102,096.44/140,860.58 = 61,797.32/x
  3. Step 3: Cross multiply
    102,096.44x = 140,860.58 × 61,797.32
  4. Step 4: Simplify right side
    102,096.44x = 8,704,806,337.65
  5. Step 5: Solve for x
    x = 8,704,806,337.65/102,096.44
  6. Step 6: Final answer
    x = 85,260.63

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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.