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Finding the Fourth Proportional to 196,392.88, 271,024 and 111,511.76

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Solution

The fourth proportional to 196,392.88, 271,024 and 111,511.76 is: 153,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,392.88 : 271,024 = 111,511.76 : x
  2. Step 2: Convert to fraction form
    196,392.88/271,024 = 111,511.76/x
  3. Step 3: Cross multiply
    196,392.88x = 271,024 × 111,511.76
  4. Step 4: Simplify right side
    196,392.88x = 30,222,363,242.24
  5. Step 5: Solve for x
    x = 30,222,363,242.24/196,392.88
  6. Step 6: Final answer
    x = 153,887.27

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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.