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Finding the Fourth Proportional to 149,900.99, 206,866.35 and 81,922.19

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Solution

The fourth proportional to 149,900.99, 206,866.35 and 81,922.19 is: 113,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,900.99 : 206,866.35 = 81,922.19 : x
  2. Step 2: Convert to fraction form
    149,900.99/206,866.35 = 81,922.19/x
  3. Step 3: Cross multiply
    149,900.99x = 206,866.35 × 81,922.19
  4. Step 4: Simplify right side
    149,900.99x = 16,946,943,394.97
  5. Step 5: Solve for x
    x = 16,946,943,394.97/149,900.99
  6. Step 6: Final answer
    x = 113,054.25

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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.