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Finding the Fourth Proportional to 196,504.24, 271,164 and 115,957

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Solution

The fourth proportional to 196,504.24, 271,164 and 115,957 is: 160,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,504.24 : 271,164 = 115,957 : x
  2. Step 2: Convert to fraction form
    196,504.24/271,164 = 115,957/x
  3. Step 3: Cross multiply
    196,504.24x = 271,164 × 115,957
  4. Step 4: Simplify right side
    196,504.24x = 31,443,363,948
  5. Step 5: Solve for x
    x = 31,443,363,948/196,504.24
  6. Step 6: Final answer
    x = 160,013.67

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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.