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Finding the Fourth Proportional to 196,592.67, 271,288.95 and 120,239.64

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Solution

The fourth proportional to 196,592.67, 271,288.95 and 120,239.64 is: 165,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,592.67 : 271,288.95 = 120,239.64 : x
  2. Step 2: Convert to fraction form
    196,592.67/271,288.95 = 120,239.64/x
  3. Step 3: Cross multiply
    196,592.67x = 271,288.95 × 120,239.64
  4. Step 4: Simplify right side
    196,592.67x = 32,619,685,233.08
  5. Step 5: Solve for x
    x = 32,619,685,233.08/196,592.67
  6. Step 6: Final answer
    x = 165,925.24

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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.