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Finding the Fourth Proportional to 213,059.22, 294,128.17 and 132,512.71

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Solution

The fourth proportional to 213,059.22, 294,128.17 and 132,512.71 is: 182,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,059.22 : 294,128.17 = 132,512.71 : x
  2. Step 2: Convert to fraction form
    213,059.22/294,128.17 = 132,512.71/x
  3. Step 3: Cross multiply
    213,059.22x = 294,128.17 × 132,512.71
  4. Step 4: Simplify right side
    213,059.22x = 38,975,720,894.04
  5. Step 5: Solve for x
    x = 38,975,720,894.04/213,059.22
  6. Step 6: Final answer
    x = 182,933.74

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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.