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Finding the Fourth Proportional to 196,620, 294,931.08 and 48,876

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Solution

The fourth proportional to 196,620, 294,931.08 and 48,876 is: 73,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,620 : 294,931.08 = 48,876 : x
  2. Step 2: Convert to fraction form
    196,620/294,931.08 = 48,876/x
  3. Step 3: Cross multiply
    196,620x = 294,931.08 × 48,876
  4. Step 4: Simplify right side
    196,620x = 14,415,051,466.08
  5. Step 5: Solve for x
    x = 14,415,051,466.08/196,620
  6. Step 6: Final answer
    x = 73,314.27

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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.