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Finding the Fourth Proportional to 291,105.88, 401,726.00 and 162,041.56

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Solution

The fourth proportional to 291,105.88, 401,726.00 and 162,041.56 is: 223,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,105.88 : 401,726.00 = 162,041.56 : x
  2. Step 2: Convert to fraction form
    291,105.88/401,726.00 = 162,041.56/x
  3. Step 3: Cross multiply
    291,105.88x = 401,726.00 × 162,041.56
  4. Step 4: Simplify right side
    291,105.88x = 65,096,307,133.35
  5. Step 5: Solve for x
    x = 65,096,307,133.35/291,105.88
  6. Step 6: Final answer
    x = 223,617.29

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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.