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Finding the Fourth Proportional to 196,806.30, 295,209.45 and 137,708.70

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Solution

The fourth proportional to 196,806.30, 295,209.45 and 137,708.70 is: 206,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,806.30 : 295,209.45 = 137,708.70 : x
  2. Step 2: Convert to fraction form
    196,806.30/295,209.45 = 137,708.70/x
  3. Step 3: Cross multiply
    196,806.30x = 295,209.45 × 137,708.70
  4. Step 4: Simplify right side
    196,806.30x = 40,652,909,587.22
  5. Step 5: Solve for x
    x = 40,652,909,587.22/196,806.30
  6. Step 6: Final answer
    x = 206,563.05

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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.