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Finding the Fourth Proportional to 149,662.48, 206,533.80 and 82,594

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Solution

The fourth proportional to 149,662.48, 206,533.80 and 82,594 is: 113,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,662.48 : 206,533.80 = 82,594 : x
  2. Step 2: Convert to fraction form
    149,662.48/206,533.80 = 82,594/x
  3. Step 3: Cross multiply
    149,662.48x = 206,533.80 × 82,594
  4. Step 4: Simplify right side
    149,662.48x = 17,058,452,677.20
  5. Step 5: Solve for x
    x = 17,058,452,677.20/149,662.48
  6. Step 6: Final answer
    x = 113,979.49

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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.