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Finding the Fourth Proportional to 276,069.60, 414,201.60 and 118,346.40

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Solution

The fourth proportional to 276,069.60, 414,201.60 and 118,346.40 is: 177,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,069.60 : 414,201.60 = 118,346.40 : x
  2. Step 2: Convert to fraction form
    276,069.60/414,201.60 = 118,346.40/x
  3. Step 3: Cross multiply
    276,069.60x = 414,201.60 × 118,346.40
  4. Step 4: Simplify right side
    276,069.60x = 49,019,268,234.24
  5. Step 5: Solve for x
    x = 49,019,268,234.24/276,069.60
  6. Step 6: Final answer
    x = 177,561.27

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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.