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Finding the Fourth Proportional to 196,499.48, 271,169.22 and 107,075.48

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Solution

The fourth proportional to 196,499.48, 271,169.22 and 107,075.48 is: 147,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,499.48 : 271,169.22 = 107,075.48 : x
  2. Step 2: Convert to fraction form
    196,499.48/271,169.22 = 107,075.48/x
  3. Step 3: Cross multiply
    196,499.48x = 271,169.22 × 107,075.48
  4. Step 4: Simplify right side
    196,499.48x = 29,035,574,392.73
  5. Step 5: Solve for x
    x = 29,035,574,392.73/196,499.48
  6. Step 6: Final answer
    x = 147,764.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.