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Finding the Fourth Proportional to 139,442, 192,431.20 and 75,779.80

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Solution

The fourth proportional to 139,442, 192,431.20 and 75,779.80 is: 104,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,442 : 192,431.20 = 75,779.80 : x
  2. Step 2: Convert to fraction form
    139,442/192,431.20 = 75,779.80/x
  3. Step 3: Cross multiply
    139,442x = 192,431.20 × 75,779.80
  4. Step 4: Simplify right side
    139,442x = 14,582,397,849.76
  5. Step 5: Solve for x
    x = 14,582,397,849.76/139,442
  6. Step 6: Final answer
    x = 104,576.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.