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Finding the Fourth Proportional to 213,090.30, 294,171 and 132,543.66

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Solution

The fourth proportional to 213,090.30, 294,171 and 132,543.66 is: 182,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,090.30 : 294,171 = 132,543.66 : x
  2. Step 2: Convert to fraction form
    213,090.30/294,171 = 132,543.66/x
  3. Step 3: Cross multiply
    213,090.30x = 294,171 × 132,543.66
  4. Step 4: Simplify right side
    213,090.30x = 38,990,501,005.86
  5. Step 5: Solve for x
    x = 38,990,501,005.86/213,090.30
  6. Step 6: Final answer
    x = 182,976.42

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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.