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Finding the Fourth Proportional to 139,446.31, 192,437.39 and 75,784.10

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Solution

The fourth proportional to 139,446.31, 192,437.39 and 75,784.10 is: 104,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,446.31 : 192,437.39 = 75,784.10 : x
  2. Step 2: Convert to fraction form
    139,446.31/192,437.39 = 75,784.10/x
  3. Step 3: Cross multiply
    139,446.31x = 192,437.39 × 75,784.10
  4. Step 4: Simplify right side
    139,446.31x = 14,583,694,028.58
  5. Step 5: Solve for x
    x = 14,583,694,028.58/139,446.31
  6. Step 6: Final answer
    x = 104,582.86

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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.