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Finding the Fourth Proportional to 197,058.56, 295,631.58 and 56,806.24

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Solution

The fourth proportional to 197,058.56, 295,631.58 and 56,806.24 is: 85,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,058.56 : 295,631.58 = 56,806.24 : x
  2. Step 2: Convert to fraction form
    197,058.56/295,631.58 = 56,806.24/x
  3. Step 3: Cross multiply
    197,058.56x = 295,631.58 × 56,806.24
  4. Step 4: Simplify right side
    197,058.56x = 16,793,718,485.06
  5. Step 5: Solve for x
    x = 16,793,718,485.06/197,058.56
  6. Step 6: Final answer
    x = 85,221.97

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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.