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Finding the Fourth Proportional to 196,425, 271,066.50 and 107,001

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Solution

The fourth proportional to 196,425, 271,066.50 and 107,001 is: 147,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,425 : 271,066.50 = 107,001 : x
  2. Step 2: Convert to fraction form
    196,425/271,066.50 = 107,001/x
  3. Step 3: Cross multiply
    196,425x = 271,066.50 × 107,001
  4. Step 4: Simplify right side
    196,425x = 29,004,386,566.50
  5. Step 5: Solve for x
    x = 29,004,386,566.50/196,425
  6. Step 6: Final answer
    x = 147,661.38

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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.