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Finding the Fourth Proportional to 139,496.19, 192,505.86 and 75,833.84

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Solution

The fourth proportional to 139,496.19, 192,505.86 and 75,833.84 is: 104,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,496.19 : 192,505.86 = 75,833.84 : x
  2. Step 2: Convert to fraction form
    139,496.19/192,505.86 = 75,833.84/x
  3. Step 3: Cross multiply
    139,496.19x = 192,505.86 × 75,833.84
  4. Step 4: Simplify right side
    139,496.19x = 14,598,457,623.77
  5. Step 5: Solve for x
    x = 14,598,457,623.77/139,496.19
  6. Step 6: Final answer
    x = 104,651.30

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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.