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Finding the Fourth Proportional to 221,897.44, 306,218.51 and 119,922.57

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Solution

The fourth proportional to 221,897.44, 306,218.51 and 119,922.57 is: 165,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,897.44 : 306,218.51 = 119,922.57 : x
  2. Step 2: Convert to fraction form
    221,897.44/306,218.51 = 119,922.57/x
  3. Step 3: Cross multiply
    221,897.44x = 306,218.51 × 119,922.57
  4. Step 4: Simplify right side
    221,897.44x = 36,722,508,570.07
  5. Step 5: Solve for x
    x = 36,722,508,570.07/221,897.44
  6. Step 6: Final answer
    x = 165,493.16

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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.