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Finding the Fourth Proportional to 196,801.30, 294,764.55 and 161,809.30

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Solution

The fourth proportional to 196,801.30, 294,764.55 and 161,809.30 is: 242,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,801.30 : 294,764.55 = 161,809.30 : x
  2. Step 2: Convert to fraction form
    196,801.30/294,764.55 = 161,809.30/x
  3. Step 3: Cross multiply
    196,801.30x = 294,764.55 × 161,809.30
  4. Step 4: Simplify right side
    196,801.30x = 47,695,645,500.32
  5. Step 5: Solve for x
    x = 47,695,645,500.32/196,801.30
  6. Step 6: Final answer
    x = 242,354.32

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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.