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Finding the Fourth Proportional to 197,915.19, 296,849.08 and 55,771.12

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Solution

The fourth proportional to 197,915.19, 296,849.08 and 55,771.12 is: 83,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,915.19 : 296,849.08 = 55,771.12 : x
  2. Step 2: Convert to fraction form
    197,915.19/296,849.08 = 55,771.12/x
  3. Step 3: Cross multiply
    197,915.19x = 296,849.08 × 55,771.12
  4. Step 4: Simplify right side
    197,915.19x = 16,555,605,662.57
  5. Step 5: Solve for x
    x = 16,555,605,662.57/197,915.19
  6. Step 6: Final answer
    x = 83,650.00

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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.