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Finding the Fourth Proportional to 196,970.44, 295,412.46 and 56,698.60

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Solution

The fourth proportional to 196,970.44, 295,412.46 and 56,698.60 is: 85,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,970.44 : 295,412.46 = 56,698.60 : x
  2. Step 2: Convert to fraction form
    196,970.44/295,412.46 = 56,698.60/x
  3. Step 3: Cross multiply
    196,970.44x = 295,412.46 × 56,698.60
  4. Step 4: Simplify right side
    196,970.44x = 16,749,472,904.56
  5. Step 5: Solve for x
    x = 16,749,472,904.56/196,970.44
  6. Step 6: Final answer
    x = 85,035.46

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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.