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Finding the Fourth Proportional to 201,481.84, 278,045.46 and 110,847.04

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Solution

The fourth proportional to 201,481.84, 278,045.46 and 110,847.04 is: 152,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,481.84 : 278,045.46 = 110,847.04 : x
  2. Step 2: Convert to fraction form
    201,481.84/278,045.46 = 110,847.04/x
  3. Step 3: Cross multiply
    201,481.84x = 278,045.46 × 110,847.04
  4. Step 4: Simplify right side
    201,481.84x = 30,820,516,226.44
  5. Step 5: Solve for x
    x = 30,820,516,226.44/201,481.84
  6. Step 6: Final answer
    x = 152,969.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.