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Finding the Fourth Proportional to 276,271.99, 414,476.96 and 96,360.01

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Solution

The fourth proportional to 276,271.99, 414,476.96 and 96,360.01 is: 144,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,271.99 : 414,476.96 = 96,360.01 : x
  2. Step 2: Convert to fraction form
    276,271.99/414,476.96 = 96,360.01/x
  3. Step 3: Cross multiply
    276,271.99x = 414,476.96 × 96,360.01
  4. Step 4: Simplify right side
    276,271.99x = 39,939,002,103.38
  5. Step 5: Solve for x
    x = 39,939,002,103.38/276,271.99
  6. Step 6: Final answer
    x = 144,564.06

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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.