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Finding the Fourth Proportional to 196,897.80, 294,909.30 and 161,905.80

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Solution

The fourth proportional to 196,897.80, 294,909.30 and 161,905.80 is: 242,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,897.80 : 294,909.30 = 161,905.80 : x
  2. Step 2: Convert to fraction form
    196,897.80/294,909.30 = 161,905.80/x
  3. Step 3: Cross multiply
    196,897.80x = 294,909.30 × 161,905.80
  4. Step 4: Simplify right side
    196,897.80x = 47,747,526,143.94
  5. Step 5: Solve for x
    x = 47,747,526,143.94/196,897.80
  6. Step 6: Final answer
    x = 242,499.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.