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Finding the Fourth Proportional to 196,698.62, 295,040.24 and 56,457.20

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Solution

The fourth proportional to 196,698.62, 295,040.24 and 56,457.20 is: 84,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,698.62 : 295,040.24 = 56,457.20 : x
  2. Step 2: Convert to fraction form
    196,698.62/295,040.24 = 56,457.20/x
  3. Step 3: Cross multiply
    196,698.62x = 295,040.24 × 56,457.20
  4. Step 4: Simplify right side
    196,698.62x = 16,657,145,837.73
  5. Step 5: Solve for x
    x = 16,657,145,837.73/196,698.62
  6. Step 6: Final answer
    x = 84,683.59

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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.