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Finding the Fourth Proportional to 196,736, 271,495.68 and 107,312

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Solution

The fourth proportional to 196,736, 271,495.68 and 107,312 is: 148,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,736 : 271,495.68 = 107,312 : x
  2. Step 2: Convert to fraction form
    196,736/271,495.68 = 107,312/x
  3. Step 3: Cross multiply
    196,736x = 271,495.68 × 107,312
  4. Step 4: Simplify right side
    196,736x = 29,134,744,412.16
  5. Step 5: Solve for x
    x = 29,134,744,412.16/196,736
  6. Step 6: Final answer
    x = 148,090.56

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