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Finding the Fourth Proportional to 196,493.34, 271,146.24 and 111,594

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Solution

The fourth proportional to 196,493.34, 271,146.24 and 111,594 is: 153,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,493.34 : 271,146.24 = 111,594 : x
  2. Step 2: Convert to fraction form
    196,493.34/271,146.24 = 111,594/x
  3. Step 3: Cross multiply
    196,493.34x = 271,146.24 × 111,594
  4. Step 4: Simplify right side
    196,493.34x = 30,258,293,506.56
  5. Step 5: Solve for x
    x = 30,258,293,506.56/196,493.34
  6. Step 6: Final answer
    x = 153,991.45

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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.