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Finding the Fourth Proportional to 276,188, 414,114.28 and 180,196.52

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Solution

The fourth proportional to 276,188, 414,114.28 and 180,196.52 is: 270,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,188 : 414,114.28 = 180,196.52 : x
  2. Step 2: Convert to fraction form
    276,188/414,114.28 = 180,196.52/x
  3. Step 3: Cross multiply
    276,188x = 414,114.28 × 180,196.52
  4. Step 4: Simplify right side
    276,188x = 74,621,952,138.31
  5. Step 5: Solve for x
    x = 74,621,952,138.31/276,188
  6. Step 6: Final answer
    x = 270,185.35

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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.