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Finding the Fourth Proportional to 196,771.80, 295,126.02 and 56,498.52

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Solution

The fourth proportional to 196,771.80, 295,126.02 and 56,498.52 is: 84,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,771.80 : 295,126.02 = 56,498.52 : x
  2. Step 2: Convert to fraction form
    196,771.80/295,126.02 = 56,498.52/x
  3. Step 3: Cross multiply
    196,771.80x = 295,126.02 × 56,498.52
  4. Step 4: Simplify right side
    196,771.80x = 16,674,183,343.49
  5. Step 5: Solve for x
    x = 16,674,183,343.49/196,771.80
  6. Step 6: Final answer
    x = 84,738.68

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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.