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Finding the Fourth Proportional to 276,073.25, 414,119.08 and 76,376.93

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Solution

The fourth proportional to 276,073.25, 414,119.08 and 76,376.93 is: 114,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,073.25 : 414,119.08 = 76,376.93 : x
  2. Step 2: Convert to fraction form
    276,073.25/414,119.08 = 76,376.93/x
  3. Step 3: Cross multiply
    276,073.25x = 414,119.08 × 76,376.93
  4. Step 4: Simplify right side
    276,073.25x = 31,629,142,009.70
  5. Step 5: Solve for x
    x = 31,629,142,009.70/276,073.25
  6. Step 6: Final answer
    x = 114,567.94

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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.