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Finding the Fourth Proportional to 276,081, 414,130.71 and 76,384.68

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Solution

The fourth proportional to 276,081, 414,130.71 and 76,384.68 is: 114,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,081 : 414,130.71 = 76,384.68 : x
  2. Step 2: Convert to fraction form
    276,081/414,130.71 = 76,384.68/x
  3. Step 3: Cross multiply
    276,081x = 414,130.71 × 76,384.68
  4. Step 4: Simplify right side
    276,081x = 31,633,241,761.52
  5. Step 5: Solve for x
    x = 31,633,241,761.52/276,081
  6. Step 6: Final answer
    x = 114,579.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.