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Finding the Fourth Proportional to 196,461, 271,116.18 and 107,037

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Solution

The fourth proportional to 196,461, 271,116.18 and 107,037 is: 147,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,461 : 271,116.18 = 107,037 : x
  2. Step 2: Convert to fraction form
    196,461/271,116.18 = 107,037/x
  3. Step 3: Cross multiply
    196,461x = 271,116.18 × 107,037
  4. Step 4: Simplify right side
    196,461x = 29,019,462,558.66
  5. Step 5: Solve for x
    x = 29,019,462,558.66/196,461
  6. Step 6: Final answer
    x = 147,711.06

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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.