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Finding the Fourth Proportional to 288,203.40, 397,704.20 and 160,887.06

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Solution

The fourth proportional to 288,203.40, 397,704.20 and 160,887.06 is: 222,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,203.40 : 397,704.20 = 160,887.06 : x
  2. Step 2: Convert to fraction form
    288,203.40/397,704.20 = 160,887.06/x
  3. Step 3: Cross multiply
    288,203.40x = 397,704.20 × 160,887.06
  4. Step 4: Simplify right side
    288,203.40x = 63,985,458,683.22
  5. Step 5: Solve for x
    x = 63,985,458,683.22/288,203.40
  6. Step 6: Final answer
    x = 222,014.93

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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.