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Finding the Fourth Proportional to 196,883.94, 271,700.95 and 112,001

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Solution

The fourth proportional to 196,883.94, 271,700.95 and 112,001 is: 154,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,883.94 : 271,700.95 = 112,001 : x
  2. Step 2: Convert to fraction form
    196,883.94/271,700.95 = 112,001/x
  3. Step 3: Cross multiply
    196,883.94x = 271,700.95 × 112,001
  4. Step 4: Simplify right side
    196,883.94x = 30,430,778,100.95
  5. Step 5: Solve for x
    x = 30,430,778,100.95/196,883.94
  6. Step 6: Final answer
    x = 154,562.01

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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.