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Finding the Fourth Proportional to 149,625.50, 206,483.20 and 82,557.50

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Solution

The fourth proportional to 149,625.50, 206,483.20 and 82,557.50 is: 113,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,625.50 : 206,483.20 = 82,557.50 : x
  2. Step 2: Convert to fraction form
    149,625.50/206,483.20 = 82,557.50/x
  3. Step 3: Cross multiply
    149,625.50x = 206,483.20 × 82,557.50
  4. Step 4: Simplify right side
    149,625.50x = 17,046,736,784.00
  5. Step 5: Solve for x
    x = 17,046,736,784.00/149,625.50
  6. Step 6: Final answer
    x = 113,929.36

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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.