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Finding the Fourth Proportional to 196,986.34, 295,571.81 and 97,092.06

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Solution

The fourth proportional to 196,986.34, 295,571.81 and 97,092.06 is: 145,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,986.34 : 295,571.81 = 97,092.06 : x
  2. Step 2: Convert to fraction form
    196,986.34/295,571.81 = 97,092.06/x
  3. Step 3: Cross multiply
    196,986.34x = 295,571.81 × 97,092.06
  4. Step 4: Simplify right side
    196,986.34x = 28,697,675,910.83
  5. Step 5: Solve for x
    x = 28,697,675,910.83/196,986.34
  6. Step 6: Final answer
    x = 145,683.58

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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.