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Finding the Fourth Proportional to 276,147.72, 414,222.54 and 84,024

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Solution

The fourth proportional to 276,147.72, 414,222.54 and 84,024 is: 126,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,147.72 : 414,222.54 = 84,024 : x
  2. Step 2: Convert to fraction form
    276,147.72/414,222.54 = 84,024/x
  3. Step 3: Cross multiply
    276,147.72x = 414,222.54 × 84,024
  4. Step 4: Simplify right side
    276,147.72x = 34,804,634,700.96
  5. Step 5: Solve for x
    x = 34,804,634,700.96/276,147.72
  6. Step 6: Final answer
    x = 126,036.29

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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.