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Finding the Fourth Proportional to 196,843.82, 295,193.27 and 154,806.03

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Solution

The fourth proportional to 196,843.82, 295,193.27 and 154,806.03 is: 232,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,843.82 : 295,193.27 = 154,806.03 : x
  2. Step 2: Convert to fraction form
    196,843.82/295,193.27 = 154,806.03/x
  3. Step 3: Cross multiply
    196,843.82x = 295,193.27 × 154,806.03
  4. Step 4: Simplify right side
    196,843.82x = 45,697,698,598.43
  5. Step 5: Solve for x
    x = 45,697,698,598.43/196,843.82
  6. Step 6: Final answer
    x = 232,152.07

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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.