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Finding the Fourth Proportional to 196,821.60, 295,232.40 and 136,460.40

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Solution

The fourth proportional to 196,821.60, 295,232.40 and 136,460.40 is: 204,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,821.60 : 295,232.40 = 136,460.40 : x
  2. Step 2: Convert to fraction form
    196,821.60/295,232.40 = 136,460.40/x
  3. Step 3: Cross multiply
    196,821.60x = 295,232.40 × 136,460.40
  4. Step 4: Simplify right side
    196,821.60x = 40,287,531,396.96
  5. Step 5: Solve for x
    x = 40,287,531,396.96/196,821.60
  6. Step 6: Final answer
    x = 204,690.60

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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.