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Finding the Fourth Proportional to 196,306.70, 270,897.32 and 109,091.50

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Solution

The fourth proportional to 196,306.70, 270,897.32 and 109,091.50 is: 150,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,306.70 : 270,897.32 = 109,091.50 : x
  2. Step 2: Convert to fraction form
    196,306.70/270,897.32 = 109,091.50/x
  3. Step 3: Cross multiply
    196,306.70x = 270,897.32 × 109,091.50
  4. Step 4: Simplify right side
    196,306.70x = 29,552,594,984.78
  5. Step 5: Solve for x
    x = 29,552,594,984.78/196,306.70
  6. Step 6: Final answer
    x = 150,542.98

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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.