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Finding the Fourth Proportional to 196,765, 295,197.32 and 56,523.63

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Solution

The fourth proportional to 196,765, 295,197.32 and 56,523.63 is: 84,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,765 : 295,197.32 = 56,523.63 : x
  2. Step 2: Convert to fraction form
    196,765/295,197.32 = 56,523.63/x
  3. Step 3: Cross multiply
    196,765x = 295,197.32 × 56,523.63
  4. Step 4: Simplify right side
    196,765x = 16,685,624,092.67
  5. Step 5: Solve for x
    x = 16,685,624,092.67/196,765
  6. Step 6: Final answer
    x = 84,799.76

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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.