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Finding the Fourth Proportional to 196,697.66, 271,297.47 and 135,463.30

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Solution

The fourth proportional to 196,697.66, 271,297.47 and 135,463.30 is: 186,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,697.66 : 271,297.47 = 135,463.30 : x
  2. Step 2: Convert to fraction form
    196,697.66/271,297.47 = 135,463.30/x
  3. Step 3: Cross multiply
    196,697.66x = 271,297.47 × 135,463.30
  4. Step 4: Simplify right side
    196,697.66x = 36,750,849,889.61
  5. Step 5: Solve for x
    x = 36,750,849,889.61/196,697.66
  6. Step 6: Final answer
    x = 186,839.28

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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.