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Finding the Fourth Proportional to 197,369.60, 296,073.16 and 55,214.90

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Solution

The fourth proportional to 197,369.60, 296,073.16 and 55,214.90 is: 82,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,369.60 : 296,073.16 = 55,214.90 : x
  2. Step 2: Convert to fraction form
    197,369.60/296,073.16 = 55,214.90/x
  3. Step 3: Cross multiply
    197,369.60x = 296,073.16 × 55,214.90
  4. Step 4: Simplify right side
    197,369.60x = 16,347,649,922.08
  5. Step 5: Solve for x
    x = 16,347,649,922.08/197,369.60
  6. Step 6: Final answer
    x = 82,827.60

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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.