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Finding the Fourth Proportional to 276,026.64, 414,039.96 and 178,152.72

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Solution

The fourth proportional to 276,026.64, 414,039.96 and 178,152.72 is: 267,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,026.64 : 414,039.96 = 178,152.72 : x
  2. Step 2: Convert to fraction form
    276,026.64/414,039.96 = 178,152.72/x
  3. Step 3: Cross multiply
    276,026.64x = 414,039.96 × 178,152.72
  4. Step 4: Simplify right side
    276,026.64x = 73,762,345,062.69
  5. Step 5: Solve for x
    x = 73,762,345,062.69/276,026.64
  6. Step 6: Final answer
    x = 267,229.08

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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.