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Finding the Fourth Proportional to 276,186, 414,111.28 and 180,194.52

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Solution

The fourth proportional to 276,186, 414,111.28 and 180,194.52 is: 270,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,186 : 414,111.28 = 180,194.52 : x
  2. Step 2: Convert to fraction form
    276,186/414,111.28 = 180,194.52/x
  3. Step 3: Cross multiply
    276,186x = 414,111.28 × 180,194.52
  4. Step 4: Simplify right side
    276,186x = 74,620,583,326.19
  5. Step 5: Solve for x
    x = 74,620,583,326.19/276,186
  6. Step 6: Final answer
    x = 270,182.35

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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.