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Finding the Fourth Proportional to 142,284.65, 196,389.70 and 81,861.48

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Solution

The fourth proportional to 142,284.65, 196,389.70 and 81,861.48 is: 112,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,284.65 : 196,389.70 = 81,861.48 : x
  2. Step 2: Convert to fraction form
    142,284.65/196,389.70 = 81,861.48/x
  3. Step 3: Cross multiply
    142,284.65x = 196,389.70 × 81,861.48
  4. Step 4: Simplify right side
    142,284.65x = 16,076,751,294.10
  5. Step 5: Solve for x
    x = 16,076,751,294.10/142,284.65
  6. Step 6: Final answer
    x = 112,990.07

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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.