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Finding the Fourth Proportional to 196,638, 294,958.08 and 48,894

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Solution

The fourth proportional to 196,638, 294,958.08 and 48,894 is: 73,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,638 : 294,958.08 = 48,894 : x
  2. Step 2: Convert to fraction form
    196,638/294,958.08 = 48,894/x
  3. Step 3: Cross multiply
    196,638x = 294,958.08 × 48,894
  4. Step 4: Simplify right side
    196,638x = 14,421,680,363.52
  5. Step 5: Solve for x
    x = 14,421,680,363.52/196,638
  6. Step 6: Final answer
    x = 73,341.27

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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.