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Finding the Fourth Proportional to 213,520.34, 294,658.14 and 118,027.02

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Solution

The fourth proportional to 213,520.34, 294,658.14 and 118,027.02 is: 162,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,520.34 : 294,658.14 = 118,027.02 : x
  2. Step 2: Convert to fraction form
    213,520.34/294,658.14 = 118,027.02/x
  3. Step 3: Cross multiply
    213,520.34x = 294,658.14 × 118,027.02
  4. Step 4: Simplify right side
    213,520.34x = 34,777,622,182.94
  5. Step 5: Solve for x
    x = 34,777,622,182.94/213,520.34
  6. Step 6: Final answer
    x = 162,877.33

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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.