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Finding the Fourth Proportional to 202,093.79, 278,943.21 and 119,380.23

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Solution

The fourth proportional to 202,093.79, 278,943.21 and 119,380.23 is: 164,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,093.79 : 278,943.21 = 119,380.23 : x
  2. Step 2: Convert to fraction form
    202,093.79/278,943.21 = 119,380.23/x
  3. Step 3: Cross multiply
    202,093.79x = 278,943.21 × 119,380.23
  4. Step 4: Simplify right side
    202,093.79x = 33,300,304,566.74
  5. Step 5: Solve for x
    x = 33,300,304,566.74/202,093.79
  6. Step 6: Final answer
    x = 164,776.49

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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.