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Finding the Fourth Proportional to 196,486.64, 294,481.80 and 84,033.20

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Solution

The fourth proportional to 196,486.64, 294,481.80 and 84,033.20 is: 125,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,486.64 : 294,481.80 = 84,033.20 : x
  2. Step 2: Convert to fraction form
    196,486.64/294,481.80 = 84,033.20/x
  3. Step 3: Cross multiply
    196,486.64x = 294,481.80 × 84,033.20
  4. Step 4: Simplify right side
    196,486.64x = 24,746,247,995.76
  5. Step 5: Solve for x
    x = 24,746,247,995.76/196,486.64
  6. Step 6: Final answer
    x = 125,943.67

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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.