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Finding the Fourth Proportional to 139,497, 192,505.38 and 75,834.36

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Solution

The fourth proportional to 139,497, 192,505.38 and 75,834.36 is: 104,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,497 : 192,505.38 = 75,834.36 : x
  2. Step 2: Convert to fraction form
    139,497/192,505.38 = 75,834.36/x
  3. Step 3: Cross multiply
    139,497x = 192,505.38 × 75,834.36
  4. Step 4: Simplify right side
    139,497x = 14,598,522,288.86
  5. Step 5: Solve for x
    x = 14,598,522,288.86/139,497
  6. Step 6: Final answer
    x = 104,651.16

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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.