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Finding the Fourth Proportional to 276,076.40, 414,114.60 and 98,601.35

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Solution

The fourth proportional to 276,076.40, 414,114.60 and 98,601.35 is: 147,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,076.40 : 414,114.60 = 98,601.35 : x
  2. Step 2: Convert to fraction form
    276,076.40/414,114.60 = 98,601.35/x
  3. Step 3: Cross multiply
    276,076.40x = 414,114.60 × 98,601.35
  4. Step 4: Simplify right side
    276,076.40x = 40,832,258,614.71
  5. Step 5: Solve for x
    x = 40,832,258,614.71/276,076.40
  6. Step 6: Final answer
    x = 147,902.03

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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.