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Finding the Fourth Proportional to 196,543.72, 294,764.46 and 56,269.54

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Solution

The fourth proportional to 196,543.72, 294,764.46 and 56,269.54 is: 84,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,543.72 : 294,764.46 = 56,269.54 : x
  2. Step 2: Convert to fraction form
    196,543.72/294,764.46 = 56,269.54/x
  3. Step 3: Cross multiply
    196,543.72x = 294,764.46 × 56,269.54
  4. Step 4: Simplify right side
    196,543.72x = 16,586,260,572.55
  5. Step 5: Solve for x
    x = 16,586,260,572.55/196,543.72
  6. Step 6: Final answer
    x = 84,389.67

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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.