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Finding the Fourth Proportional to 196,082, 294,123 and 48,338

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Solution

The fourth proportional to 196,082, 294,123 and 48,338 is: 72,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,082 : 294,123 = 48,338 : x
  2. Step 2: Convert to fraction form
    196,082/294,123 = 48,338/x
  3. Step 3: Cross multiply
    196,082x = 294,123 × 48,338
  4. Step 4: Simplify right side
    196,082x = 14,217,317,574
  5. Step 5: Solve for x
    x = 14,217,317,574/196,082
  6. Step 6: Final answer
    x = 72,507

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Why These Related Problems?

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