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Finding the Fourth Proportional to 196,863.40, 295,100.70 and 96,941.80

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Solution

The fourth proportional to 196,863.40, 295,100.70 and 96,941.80 is: 145,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,863.40 : 295,100.70 = 96,941.80 : x
  2. Step 2: Convert to fraction form
    196,863.40/295,100.70 = 96,941.80/x
  3. Step 3: Cross multiply
    196,863.40x = 295,100.70 × 96,941.80
  4. Step 4: Simplify right side
    196,863.40x = 28,607,593,039.26
  5. Step 5: Solve for x
    x = 28,607,593,039.26/196,863.40
  6. Step 6: Final answer
    x = 145,316.97

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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.