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Finding the Fourth Proportional to 213,406.60, 294,500.50 and 117,912.61

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Solution

The fourth proportional to 213,406.60, 294,500.50 and 117,912.61 is: 162,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,406.60 : 294,500.50 = 117,912.61 : x
  2. Step 2: Convert to fraction form
    213,406.60/294,500.50 = 117,912.61/x
  3. Step 3: Cross multiply
    213,406.60x = 294,500.50 × 117,912.61
  4. Step 4: Simplify right side
    213,406.60x = 34,725,323,337.56
  5. Step 5: Solve for x
    x = 34,725,323,337.56/213,406.60
  6. Step 6: Final answer
    x = 162,719.07

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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.