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Finding the Fourth Proportional to 196,040.42, 270,493.98 and 115,438.52

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Solution

The fourth proportional to 196,040.42, 270,493.98 and 115,438.52 is: 159,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,040.42 : 270,493.98 = 115,438.52 : x
  2. Step 2: Convert to fraction form
    196,040.42/270,493.98 = 115,438.52/x
  3. Step 3: Cross multiply
    196,040.42x = 270,493.98 × 115,438.52
  4. Step 4: Simplify right side
    196,040.42x = 31,225,424,720.11
  5. Step 5: Solve for x
    x = 31,225,424,720.11/196,040.42
  6. Step 6: Final answer
    x = 159,280.54

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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.