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Finding the Fourth Proportional to 223,683.46, 308,673.92 and 121,709.34

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Solution

The fourth proportional to 223,683.46, 308,673.92 and 121,709.34 is: 167,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,683.46 : 308,673.92 = 121,709.34 : x
  2. Step 2: Convert to fraction form
    223,683.46/308,673.92 = 121,709.34/x
  3. Step 3: Cross multiply
    223,683.46x = 308,673.92 × 121,709.34
  4. Step 4: Simplify right side
    223,683.46x = 37,568,499,078.41
  5. Step 5: Solve for x
    x = 37,568,499,078.41/223,683.46
  6. Step 6: Final answer
    x = 167,953.85

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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.