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Finding the Fourth Proportional to 361,312.34, 541,797.49 and 133,533.25

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Solution

The fourth proportional to 361,312.34, 541,797.49 and 133,533.25 is: 200,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,312.34 : 541,797.49 = 133,533.25 : x
  2. Step 2: Convert to fraction form
    361,312.34/541,797.49 = 133,533.25/x
  3. Step 3: Cross multiply
    361,312.34x = 541,797.49 × 133,533.25
  4. Step 4: Simplify right side
    361,312.34x = 72,347,979,681.54
  5. Step 5: Solve for x
    x = 72,347,979,681.54/361,312.34
  6. Step 6: Final answer
    x = 200,236.67

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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.