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Finding the Fourth Proportional to 213,256.67, 294,292.35 and 117,761.31

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Solution

The fourth proportional to 213,256.67, 294,292.35 and 117,761.31 is: 162,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,256.67 : 294,292.35 = 117,761.31 : x
  2. Step 2: Convert to fraction form
    213,256.67/294,292.35 = 117,761.31/x
  3. Step 3: Cross multiply
    213,256.67x = 294,292.35 × 117,761.31
  4. Step 4: Simplify right side
    213,256.67x = 34,656,252,658.98
  5. Step 5: Solve for x
    x = 34,656,252,658.98/213,256.67
  6. Step 6: Final answer
    x = 162,509.59

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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.