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Finding the Fourth Proportional to 213,543.40, 294,680.67 and 116,745.46

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Solution

The fourth proportional to 213,543.40, 294,680.67 and 116,745.46 is: 161,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,543.40 : 294,680.67 = 116,745.46 : x
  2. Step 2: Convert to fraction form
    213,543.40/294,680.67 = 116,745.46/x
  3. Step 3: Cross multiply
    213,543.40x = 294,680.67 × 116,745.46
  4. Step 4: Simplify right side
    213,543.40x = 34,402,630,372.26
  5. Step 5: Solve for x
    x = 34,402,630,372.26/213,543.40
  6. Step 6: Final answer
    x = 161,103.69

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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.