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Finding the Fourth Proportional to 196,965, 271,024.35 and 191,453.76

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Solution

The fourth proportional to 196,965, 271,024.35 and 191,453.76 is: 263,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,965 : 271,024.35 = 191,453.76 : x
  2. Step 2: Convert to fraction form
    196,965/271,024.35 = 191,453.76/x
  3. Step 3: Cross multiply
    196,965x = 271,024.35 × 191,453.76
  4. Step 4: Simplify right side
    196,965x = 51,888,630,859.06
  5. Step 5: Solve for x
    x = 51,888,630,859.06/196,965
  6. Step 6: Final answer
    x = 263,440.87

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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.