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Finding the Fourth Proportional to 196,477.75, 271,139.30 and 107,053.75

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Solution

The fourth proportional to 196,477.75, 271,139.30 and 107,053.75 is: 147,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,477.75 : 271,139.30 = 107,053.75 : x
  2. Step 2: Convert to fraction form
    196,477.75/271,139.30 = 107,053.75/x
  3. Step 3: Cross multiply
    196,477.75x = 271,139.30 × 107,053.75
  4. Step 4: Simplify right side
    196,477.75x = 29,026,478,837.38
  5. Step 5: Solve for x
    x = 29,026,478,837.38/196,477.75
  6. Step 6: Final answer
    x = 147,734.18

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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.