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Finding the Fourth Proportional to 196,482.20, 271,145.44 and 107,058.20

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Solution

The fourth proportional to 196,482.20, 271,145.44 and 107,058.20 is: 147,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,482.20 : 271,145.44 = 107,058.20 : x
  2. Step 2: Convert to fraction form
    196,482.20/271,145.44 = 107,058.20/x
  3. Step 3: Cross multiply
    196,482.20x = 271,145.44 × 107,058.20
  4. Step 4: Simplify right side
    196,482.20x = 29,028,344,162.87
  5. Step 5: Solve for x
    x = 29,028,344,162.87/196,482.20
  6. Step 6: Final answer
    x = 147,740.32

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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.