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Finding the Fourth Proportional to 270,019.84, 372,630 and 149,164

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Solution

The fourth proportional to 270,019.84, 372,630 and 149,164 is: 205,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,019.84 : 372,630 = 149,164 : x
  2. Step 2: Convert to fraction form
    270,019.84/372,630 = 149,164/x
  3. Step 3: Cross multiply
    270,019.84x = 372,630 × 149,164
  4. Step 4: Simplify right side
    270,019.84x = 55,582,981,320
  5. Step 5: Solve for x
    x = 55,582,981,320/270,019.84
  6. Step 6: Final answer
    x = 205,847.77

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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.