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Finding the Fourth Proportional to 217,741.76, 326,485.51 and 84,466.28

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Solution

The fourth proportional to 217,741.76, 326,485.51 and 84,466.28 is: 126,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,741.76 : 326,485.51 = 84,466.28 : x
  2. Step 2: Convert to fraction form
    217,741.76/326,485.51 = 84,466.28/x
  3. Step 3: Cross multiply
    217,741.76x = 326,485.51 × 84,466.28
  4. Step 4: Simplify right side
    217,741.76x = 27,577,016,503.60
  5. Step 5: Solve for x
    x = 27,577,016,503.60/217,741.76
  6. Step 6: Final answer
    x = 126,650.10

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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.