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Finding the Fourth Proportional to 197,161.40, 295,694.10 and 56,905.40

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Solution

The fourth proportional to 197,161.40, 295,694.10 and 56,905.40 is: 85,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,161.40 : 295,694.10 = 56,905.40 : x
  2. Step 2: Convert to fraction form
    197,161.40/295,694.10 = 56,905.40/x
  3. Step 3: Cross multiply
    197,161.40x = 295,694.10 × 56,905.40
  4. Step 4: Simplify right side
    197,161.40x = 16,826,591,038.14
  5. Step 5: Solve for x
    x = 16,826,591,038.14/197,161.40
  6. Step 6: Final answer
    x = 85,344.25

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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.