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Finding the Fourth Proportional to 231,041.80, 346,562.70 and 197,216.20

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Solution

The fourth proportional to 231,041.80, 346,562.70 and 197,216.20 is: 295,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,041.80 : 346,562.70 = 197,216.20 : x
  2. Step 2: Convert to fraction form
    231,041.80/346,562.70 = 197,216.20/x
  3. Step 3: Cross multiply
    231,041.80x = 346,562.70 × 197,216.20
  4. Step 4: Simplify right side
    231,041.80x = 68,347,778,755.74
  5. Step 5: Solve for x
    x = 68,347,778,755.74/231,041.80
  6. Step 6: Final answer
    x = 295,824.30

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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.