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Finding the Fourth Proportional to 196,480.13, 271,142.57 and 107,056.13

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Solution

The fourth proportional to 196,480.13, 271,142.57 and 107,056.13 is: 147,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,480.13 : 271,142.57 = 107,056.13 : x
  2. Step 2: Convert to fraction form
    196,480.13/271,142.57 = 107,056.13/x
  3. Step 3: Cross multiply
    196,480.13x = 271,142.57 × 107,056.13
  4. Step 4: Simplify right side
    196,480.13x = 29,027,473,134.38
  5. Step 5: Solve for x
    x = 29,027,473,134.38/196,480.13
  6. Step 6: Final answer
    x = 147,737.45

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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.