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Finding the Fourth Proportional to 291,059.28, 401,661.22 and 163,734.98

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Solution

The fourth proportional to 291,059.28, 401,661.22 and 163,734.98 is: 225,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,059.28 : 401,661.22 = 163,734.98 : x
  2. Step 2: Convert to fraction form
    291,059.28/401,661.22 = 163,734.98/x
  3. Step 3: Cross multiply
    291,059.28x = 401,661.22 × 163,734.98
  4. Step 4: Simplify right side
    291,059.28x = 65,765,991,823.48
  5. Step 5: Solve for x
    x = 65,765,991,823.48/291,059.28
  6. Step 6: Final answer
    x = 225,953.94

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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.