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Finding the Fourth Proportional to 291,169.84, 401,813.13 and 163,847.56

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Solution

The fourth proportional to 291,169.84, 401,813.13 and 163,847.56 is: 226,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,169.84 : 401,813.13 = 163,847.56 : x
  2. Step 2: Convert to fraction form
    291,169.84/401,813.13 = 163,847.56/x
  3. Step 3: Cross multiply
    291,169.84x = 401,813.13 × 163,847.56
  4. Step 4: Simplify right side
    291,169.84x = 65,836,100,926.46
  5. Step 5: Solve for x
    x = 65,836,100,926.46/291,169.84
  6. Step 6: Final answer
    x = 226,108.93

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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.