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Finding the Fourth Proportional to 196,994.40, 295,443.60 and 56,738.40

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Solution

The fourth proportional to 196,994.40, 295,443.60 and 56,738.40 is: 85,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,994.40 : 295,443.60 = 56,738.40 : x
  2. Step 2: Convert to fraction form
    196,994.40/295,443.60 = 56,738.40/x
  3. Step 3: Cross multiply
    196,994.40x = 295,443.60 × 56,738.40
  4. Step 4: Simplify right side
    196,994.40x = 16,762,997,154.24
  5. Step 5: Solve for x
    x = 16,762,997,154.24/196,994.40
  6. Step 6: Final answer
    x = 85,093.78

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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.