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Finding the Fourth Proportional to 196,294.29, 270,886.17 and 106,870.29

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Solution

The fourth proportional to 196,294.29, 270,886.17 and 106,870.29 is: 147,481.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,294.29 : 270,886.17 = 106,870.29 : x
  2. Step 2: Convert to fraction form
    196,294.29/270,886.17 = 106,870.29/x
  3. Step 3: Cross multiply
    196,294.29x = 270,886.17 × 106,870.29
  4. Step 4: Simplify right side
    196,294.29x = 28,949,683,544.89
  5. Step 5: Solve for x
    x = 28,949,683,544.89/196,294.29
  6. Step 6: Final answer
    x = 147,481.03

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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.