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Finding the Fourth Proportional to 293,601.50, 405,198.62 and 164,561.95

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Solution

The fourth proportional to 293,601.50, 405,198.62 and 164,561.95 is: 227,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,601.50 : 405,198.62 = 164,561.95 : x
  2. Step 2: Convert to fraction form
    293,601.50/405,198.62 = 164,561.95/x
  3. Step 3: Cross multiply
    293,601.50x = 405,198.62 × 164,561.95
  4. Step 4: Simplify right side
    293,601.50x = 66,680,275,044.51
  5. Step 5: Solve for x
    x = 66,680,275,044.51/293,601.50
  6. Step 6: Final answer
    x = 227,111.49

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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.