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Finding the Fourth Proportional to 299,182.04, 412,871.19 and 171,857.60

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Solution

The fourth proportional to 299,182.04, 412,871.19 and 171,857.60 is: 237,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,182.04 : 412,871.19 = 171,857.60 : x
  2. Step 2: Convert to fraction form
    299,182.04/412,871.19 = 171,857.60/x
  3. Step 3: Cross multiply
    299,182.04x = 412,871.19 × 171,857.60
  4. Step 4: Simplify right side
    299,182.04x = 70,955,049,758.19
  5. Step 5: Solve for x
    x = 70,955,049,758.19/299,182.04
  6. Step 6: Final answer
    x = 237,163.47

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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.