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Finding the Fourth Proportional to 139,412, 192,389.46 and 75,749.78

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Solution

The fourth proportional to 139,412, 192,389.46 and 75,749.78 is: 104,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,412 : 192,389.46 = 75,749.78 : x
  2. Step 2: Convert to fraction form
    139,412/192,389.46 = 75,749.78/x
  3. Step 3: Cross multiply
    139,412x = 192,389.46 × 75,749.78
  4. Step 4: Simplify right side
    139,412x = 14,573,459,269.32
  5. Step 5: Solve for x
    x = 14,573,459,269.32/139,412
  6. Step 6: Final answer
    x = 104,535.19

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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.