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Finding the Fourth Proportional to 196,480, 271,144.56 and 107,056

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Solution

The fourth proportional to 196,480, 271,144.56 and 107,056 is: 147,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,480 : 271,144.56 = 107,056 : x
  2. Step 2: Convert to fraction form
    196,480/271,144.56 = 107,056/x
  3. Step 3: Cross multiply
    196,480x = 271,144.56 × 107,056
  4. Step 4: Simplify right side
    196,480x = 29,027,652,015.36
  5. Step 5: Solve for x
    x = 29,027,652,015.36/196,480
  6. Step 6: Final answer
    x = 147,738.46

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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.