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Finding the Fourth Proportional to 139,157.84, 192,037.32 and 75,494.48

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Solution

The fourth proportional to 139,157.84, 192,037.32 and 75,494.48 is: 104,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,157.84 : 192,037.32 = 75,494.48 : x
  2. Step 2: Convert to fraction form
    139,157.84/192,037.32 = 75,494.48/x
  3. Step 3: Cross multiply
    139,157.84x = 192,037.32 × 75,494.48
  4. Step 4: Simplify right side
    139,157.84x = 14,497,757,613.99
  5. Step 5: Solve for x
    x = 14,497,757,613.99/139,157.84
  6. Step 6: Final answer
    x = 104,182.11

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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.