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Finding the Fourth Proportional to 205,021.60, 307,532.40 and 197,148.40

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Solution

The fourth proportional to 205,021.60, 307,532.40 and 197,148.40 is: 295,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,021.60 : 307,532.40 = 197,148.40 : x
  2. Step 2: Convert to fraction form
    205,021.60/307,532.40 = 197,148.40/x
  3. Step 3: Cross multiply
    205,021.60x = 307,532.40 × 197,148.40
  4. Step 4: Simplify right side
    205,021.60x = 60,629,520,608.16
  5. Step 5: Solve for x
    x = 60,629,520,608.16/205,021.60
  6. Step 6: Final answer
    x = 295,722.60

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1.5x scale

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.