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Finding the Fourth Proportional to 196,755.60, 294,689.34 and 137,854.20

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Solution

The fourth proportional to 196,755.60, 294,689.34 and 137,854.20 is: 206,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,755.60 : 294,689.34 = 137,854.20 : x
  2. Step 2: Convert to fraction form
    196,755.60/294,689.34 = 137,854.20/x
  3. Step 3: Cross multiply
    196,755.60x = 294,689.34 × 137,854.20
  4. Step 4: Simplify right side
    196,755.60x = 40,624,163,214.23
  5. Step 5: Solve for x
    x = 40,624,163,214.23/196,755.60
  6. Step 6: Final answer
    x = 206,470.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.