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Finding the Fourth Proportional to 291,085.26, 401,697.06 and 163,761

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Solution

The fourth proportional to 291,085.26, 401,697.06 and 163,761 is: 225,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,085.26 : 401,697.06 = 163,761 : x
  2. Step 2: Convert to fraction form
    291,085.26/401,697.06 = 163,761/x
  3. Step 3: Cross multiply
    291,085.26x = 401,697.06 × 163,761
  4. Step 4: Simplify right side
    291,085.26x = 65,782,312,242.66
  5. Step 5: Solve for x
    x = 65,782,312,242.66/291,085.26
  6. Step 6: Final answer
    x = 225,989.84

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