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Finding the Fourth Proportional to 204,898.60, 307,420.80 and 197,608.60

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Solution

The fourth proportional to 204,898.60, 307,420.80 and 197,608.60 is: 296,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,898.60 : 307,420.80 = 197,608.60 : x
  2. Step 2: Convert to fraction form
    204,898.60/307,420.80 = 197,608.60/x
  3. Step 3: Cross multiply
    204,898.60x = 307,420.80 × 197,608.60
  4. Step 4: Simplify right side
    204,898.60x = 60,748,993,898.88
  5. Step 5: Solve for x
    x = 60,748,993,898.88/204,898.60
  6. Step 6: Final answer
    x = 296,483.21

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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.