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Finding the Fourth Proportional to 149,893.30, 206,852.76 and 82,825.30

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Solution

The fourth proportional to 149,893.30, 206,852.76 and 82,825.30 is: 114,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,893.30 : 206,852.76 = 82,825.30 : x
  2. Step 2: Convert to fraction form
    149,893.30/206,852.76 = 82,825.30/x
  3. Step 3: Cross multiply
    149,893.30x = 206,852.76 × 82,825.30
  4. Step 4: Simplify right side
    149,893.30x = 17,132,641,902.83
  5. Step 5: Solve for x
    x = 17,132,641,902.83/149,893.30
  6. Step 6: Final answer
    x = 114,298.92

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1.5x scale

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.