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Finding the Fourth Proportional to 139,257.81, 192,175.31 and 75,595.16

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Solution

The fourth proportional to 139,257.81, 192,175.31 and 75,595.16 is: 104,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,257.81 : 192,175.31 = 75,595.16 : x
  2. Step 2: Convert to fraction form
    139,257.81/192,175.31 = 75,595.16/x
  3. Step 3: Cross multiply
    139,257.81x = 192,175.31 × 75,595.16
  4. Step 4: Simplify right side
    139,257.81x = 14,527,522,157.64
  5. Step 5: Solve for x
    x = 14,527,522,157.64/139,257.81
  6. Step 6: Final answer
    x = 104,321.06

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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.