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Finding the Fourth Proportional to 196,709.46, 295,133.31 and 84,385.14

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Solution

The fourth proportional to 196,709.46, 295,133.31 and 84,385.14 is: 126,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,709.46 : 295,133.31 = 84,385.14 : x
  2. Step 2: Convert to fraction form
    196,709.46/295,133.31 = 84,385.14/x
  3. Step 3: Cross multiply
    196,709.46x = 295,133.31 × 84,385.14
  4. Step 4: Simplify right side
    196,709.46x = 24,904,865,683.01
  5. Step 5: Solve for x
    x = 24,904,865,683.01/196,709.46
  6. Step 6: Final answer
    x = 126,607.36

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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.