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Finding the Fourth Proportional to 196,415.24, 271,043.70 and 111,521

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Solution

The fourth proportional to 196,415.24, 271,043.70 and 111,521 is: 153,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,415.24 : 271,043.70 = 111,521 : x
  2. Step 2: Convert to fraction form
    196,415.24/271,043.70 = 111,521/x
  3. Step 3: Cross multiply
    196,415.24x = 271,043.70 × 111,521
  4. Step 4: Simplify right side
    196,415.24x = 30,227,064,467.70
  5. Step 5: Solve for x
    x = 30,227,064,467.70/196,415.24
  6. Step 6: Final answer
    x = 153,893.68

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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.