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Finding the Fourth Proportional to 196,217, 294,328.32 and 55,975.64

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Solution

The fourth proportional to 196,217, 294,328.32 and 55,975.64 is: 83,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,217 : 294,328.32 = 55,975.64 : x
  2. Step 2: Convert to fraction form
    196,217/294,328.32 = 55,975.64/x
  3. Step 3: Cross multiply
    196,217x = 294,328.32 × 55,975.64
  4. Step 4: Simplify right side
    196,217x = 16,475,216,082.12
  5. Step 5: Solve for x
    x = 16,475,216,082.12/196,217
  6. Step 6: Final answer
    x = 83,964.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.