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Finding the Fourth Proportional to 142,466.57, 196,614.53 and 81,214.22

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Solution

The fourth proportional to 142,466.57, 196,614.53 and 81,214.22 is: 112,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,466.57 : 196,614.53 = 81,214.22 : x
  2. Step 2: Convert to fraction form
    142,466.57/196,614.53 = 81,214.22/x
  3. Step 3: Cross multiply
    142,466.57x = 196,614.53 × 81,214.22
  4. Step 4: Simplify right side
    142,466.57x = 15,967,894,914.58
  5. Step 5: Solve for x
    x = 15,967,894,914.58/142,466.57
  6. Step 6: Final answer
    x = 112,081.70

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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.