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Finding the Fourth Proportional to 272,533.10, 408,022.05 and 167,557.10

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Solution

The fourth proportional to 272,533.10, 408,022.05 and 167,557.10 is: 250,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,533.10 : 408,022.05 = 167,557.10 : x
  2. Step 2: Convert to fraction form
    272,533.10/408,022.05 = 167,557.10/x
  3. Step 3: Cross multiply
    272,533.10x = 408,022.05 × 167,557.10
  4. Step 4: Simplify right side
    272,533.10x = 68,366,991,434.06
  5. Step 5: Solve for x
    x = 68,366,991,434.06/272,533.10
  6. Step 6: Final answer
    x = 250,857.57

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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.