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Finding the Fourth Proportional to 276,071.20, 414,106.80 and 164,096.80

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Solution

The fourth proportional to 276,071.20, 414,106.80 and 164,096.80 is: 246,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,071.20 : 414,106.80 = 164,096.80 : x
  2. Step 2: Convert to fraction form
    276,071.20/414,106.80 = 164,096.80/x
  3. Step 3: Cross multiply
    276,071.20x = 414,106.80 × 164,096.80
  4. Step 4: Simplify right side
    276,071.20x = 67,953,600,738.24
  5. Step 5: Solve for x
    x = 67,953,600,738.24/276,071.20
  6. Step 6: Final answer
    x = 246,145.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.