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Finding the Fourth Proportional to 197,616.78, 296,425.85 and 47,856.83

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Solution

The fourth proportional to 197,616.78, 296,425.85 and 47,856.83 is: 71,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,616.78 : 296,425.85 = 47,856.83 : x
  2. Step 2: Convert to fraction form
    197,616.78/296,425.85 = 47,856.83/x
  3. Step 3: Cross multiply
    197,616.78x = 296,425.85 × 47,856.83
  4. Step 4: Simplify right side
    197,616.78x = 14,185,999,789.64
  5. Step 5: Solve for x
    x = 14,185,999,789.64/197,616.78
  6. Step 6: Final answer
    x = 71,785.40

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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.