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Finding the Fourth Proportional to 196,058, 294,087 and 48,314

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Solution

The fourth proportional to 196,058, 294,087 and 48,314 is: 72,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,058 : 294,087 = 48,314 : x
  2. Step 2: Convert to fraction form
    196,058/294,087 = 48,314/x
  3. Step 3: Cross multiply
    196,058x = 294,087 × 48,314
  4. Step 4: Simplify right side
    196,058x = 14,208,519,318
  5. Step 5: Solve for x
    x = 14,208,519,318/196,058
  6. Step 6: Final answer
    x = 72,471

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.