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Finding the Fourth Proportional to 167,229.36, 250,858.08 and 42,570

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Solution

The fourth proportional to 167,229.36, 250,858.08 and 42,570 is: 63,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,229.36 : 250,858.08 = 42,570 : x
  2. Step 2: Convert to fraction form
    167,229.36/250,858.08 = 42,570/x
  3. Step 3: Cross multiply
    167,229.36x = 250,858.08 × 42,570
  4. Step 4: Simplify right side
    167,229.36x = 10,679,028,465.60
  5. Step 5: Solve for x
    x = 10,679,028,465.60/167,229.36
  6. Step 6: Final answer
    x = 63,858.57

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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.