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Finding the Fourth Proportional to 192,576.71, 265,750.89 and 106,533.47

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Solution

The fourth proportional to 192,576.71, 265,750.89 and 106,533.47 is: 147,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,576.71 : 265,750.89 = 106,533.47 : x
  2. Step 2: Convert to fraction form
    192,576.71/265,750.89 = 106,533.47/x
  3. Step 3: Cross multiply
    192,576.71x = 265,750.89 × 106,533.47
  4. Step 4: Simplify right side
    192,576.71x = 28,311,364,467.29
  5. Step 5: Solve for x
    x = 28,311,364,467.29/192,576.71
  6. Step 6: Final answer
    x = 147,013.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.