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Finding the Fourth Proportional to 211,675.72, 292,062.24 and 119,796.20

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Solution

The fourth proportional to 211,675.72, 292,062.24 and 119,796.20 is: 165,290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,675.72 : 292,062.24 = 119,796.20 : x
  2. Step 2: Convert to fraction form
    211,675.72/292,062.24 = 119,796.20/x
  3. Step 3: Cross multiply
    211,675.72x = 292,062.24 × 119,796.20
  4. Step 4: Simplify right side
    211,675.72x = 34,987,946,515.49
  5. Step 5: Solve for x
    x = 34,987,946,515.49/211,675.72
  6. Step 6: Final answer
    x = 165,290.32

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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.