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Finding the Fourth Proportional to 197,306.88, 296,004.64 and 57,076.40

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Solution

The fourth proportional to 197,306.88, 296,004.64 and 57,076.40 is: 85,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,306.88 : 296,004.64 = 57,076.40 : x
  2. Step 2: Convert to fraction form
    197,306.88/296,004.64 = 57,076.40/x
  3. Step 3: Cross multiply
    197,306.88x = 296,004.64 × 57,076.40
  4. Step 4: Simplify right side
    197,306.88x = 16,894,879,234.50
  5. Step 5: Solve for x
    x = 16,894,879,234.50/197,306.88
  6. Step 6: Final answer
    x = 85,627.42

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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.