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Finding the Fourth Proportional to 276,260.40, 414,244.80 and 98,773.20

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Solution

The fourth proportional to 276,260.40, 414,244.80 and 98,773.20 is: 148,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,260.40 : 414,244.80 = 98,773.20 : x
  2. Step 2: Convert to fraction form
    276,260.40/414,244.80 = 98,773.20/x
  3. Step 3: Cross multiply
    276,260.40x = 414,244.80 × 98,773.20
  4. Step 4: Simplify right side
    276,260.40x = 40,916,284,479.36
  5. Step 5: Solve for x
    x = 40,916,284,479.36/276,260.40
  6. Step 6: Final answer
    x = 148,107.67

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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.