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Finding the Fourth Proportional to 176,121.84, 264,198.12 and 49,763.40

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Solution

The fourth proportional to 176,121.84, 264,198.12 and 49,763.40 is: 74,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,121.84 : 264,198.12 = 49,763.40 : x
  2. Step 2: Convert to fraction form
    176,121.84/264,198.12 = 49,763.40/x
  3. Step 3: Cross multiply
    176,121.84x = 264,198.12 × 49,763.40
  4. Step 4: Simplify right side
    176,121.84x = 13,147,396,724.81
  5. Step 5: Solve for x
    x = 13,147,396,724.81/176,121.84
  6. Step 6: Final answer
    x = 74,649.44

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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.