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Finding the Fourth Proportional to 196,406.10, 271,040.76 and 111,523.14

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Solution

The fourth proportional to 196,406.10, 271,040.76 and 111,523.14 is: 153,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,406.10 : 271,040.76 = 111,523.14 : x
  2. Step 2: Convert to fraction form
    196,406.10/271,040.76 = 111,523.14/x
  3. Step 3: Cross multiply
    196,406.10x = 271,040.76 × 111,523.14
  4. Step 4: Simplify right side
    196,406.10x = 30,227,316,623.19
  5. Step 5: Solve for x
    x = 30,227,316,623.19/196,406.10
  6. Step 6: Final answer
    x = 153,902.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.