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Finding the Fourth Proportional to 98,213.64, 147,384.99 and 53,871.54

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Solution

The fourth proportional to 98,213.64, 147,384.99 and 53,871.54 is: 80,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,213.64 : 147,384.99 = 53,871.54 : x
  2. Step 2: Convert to fraction form
    98,213.64/147,384.99 = 53,871.54/x
  3. Step 3: Cross multiply
    98,213.64x = 147,384.99 × 53,871.54
  4. Step 4: Simplify right side
    98,213.64x = 7,939,856,384.18
  5. Step 5: Solve for x
    x = 7,939,856,384.18/98,213.64
  6. Step 6: Final answer
    x = 80,842.71

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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.