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Finding the Fourth Proportional to 276,047.40, 414,071.10 and 192,066.60

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Solution

The fourth proportional to 276,047.40, 414,071.10 and 192,066.60 is: 288,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,047.40 : 414,071.10 = 192,066.60 : x
  2. Step 2: Convert to fraction form
    276,047.40/414,071.10 = 192,066.60/x
  3. Step 3: Cross multiply
    276,047.40x = 414,071.10 × 192,066.60
  4. Step 4: Simplify right side
    276,047.40x = 79,529,228,335.26
  5. Step 5: Solve for x
    x = 79,529,228,335.26/276,047.40
  6. Step 6: Final answer
    x = 288,099.90

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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.