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Finding the Fourth Proportional to 276,095.97, 414,153.27 and 76,399.74

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Solution

The fourth proportional to 276,095.97, 414,153.27 and 76,399.74 is: 114,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,095.97 : 414,153.27 = 76,399.74 : x
  2. Step 2: Convert to fraction form
    276,095.97/414,153.27 = 76,399.74/x
  3. Step 3: Cross multiply
    276,095.97x = 414,153.27 × 76,399.74
  4. Step 4: Simplify right side
    276,095.97x = 31,641,202,148.15
  5. Step 5: Solve for x
    x = 31,641,202,148.15/276,095.97
  6. Step 6: Final answer
    x = 114,602.19

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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.