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Finding the Fourth Proportional to 196,207.50, 270,775.24 and 115,638.42

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Solution

The fourth proportional to 196,207.50, 270,775.24 and 115,638.42 is: 159,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,207.50 : 270,775.24 = 115,638.42 : x
  2. Step 2: Convert to fraction form
    196,207.50/270,775.24 = 115,638.42/x
  3. Step 3: Cross multiply
    196,207.50x = 270,775.24 × 115,638.42
  4. Step 4: Simplify right side
    196,207.50x = 31,312,020,928.72
  5. Step 5: Solve for x
    x = 31,312,020,928.72/196,207.50
  6. Step 6: Final answer
    x = 159,586.26

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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.