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Finding the Fourth Proportional to 276,592.22, 414,959.63 and 150,200.02

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Solution

The fourth proportional to 276,592.22, 414,959.63 and 150,200.02 is: 225,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,592.22 : 414,959.63 = 150,200.02 : x
  2. Step 2: Convert to fraction form
    276,592.22/414,959.63 = 150,200.02/x
  3. Step 3: Cross multiply
    276,592.22x = 414,959.63 × 150,200.02
  4. Step 4: Simplify right side
    276,592.22x = 62,326,944,492.89
  5. Step 5: Solve for x
    x = 62,326,944,492.89/276,592.22
  6. Step 6: Final answer
    x = 225,338.75

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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.