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Finding the Fourth Proportional to 142,316.96, 196,405 and 81,896.80

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Solution

The fourth proportional to 142,316.96, 196,405 and 81,896.80 is: 113,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,316.96 : 196,405 = 81,896.80 : x
  2. Step 2: Convert to fraction form
    142,316.96/196,405 = 81,896.80/x
  3. Step 3: Cross multiply
    142,316.96x = 196,405 × 81,896.80
  4. Step 4: Simplify right side
    142,316.96x = 16,084,941,004
  5. Step 5: Solve for x
    x = 16,084,941,004/142,316.96
  6. Step 6: Final answer
    x = 113,021.95

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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.