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Finding the Fourth Proportional to 196,202, 294,305.79 and 55,960.67

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Solution

The fourth proportional to 196,202, 294,305.79 and 55,960.67 is: 83,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,202 : 294,305.79 = 55,960.67 : x
  2. Step 2: Convert to fraction form
    196,202/294,305.79 = 55,960.67/x
  3. Step 3: Cross multiply
    196,202x = 294,305.79 × 55,960.67
  4. Step 4: Simplify right side
    196,202x = 16,469,549,193.28
  5. Step 5: Solve for x
    x = 16,469,549,193.28/196,202
  6. Step 6: Final answer
    x = 83,941.80

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1.5x scale

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.