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Finding the Fourth Proportional to 276,064.60, 414,096.90 and 98,656.60

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Solution

The fourth proportional to 276,064.60, 414,096.90 and 98,656.60 is: 147,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,064.60 : 414,096.90 = 98,656.60 : x
  2. Step 2: Convert to fraction form
    276,064.60/414,096.90 = 98,656.60/x
  3. Step 3: Cross multiply
    276,064.60x = 414,096.90 × 98,656.60
  4. Step 4: Simplify right side
    276,064.60x = 40,853,392,224.54
  5. Step 5: Solve for x
    x = 40,853,392,224.54/276,064.60
  6. Step 6: Final answer
    x = 147,984.90

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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.