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Finding the Fourth Proportional to 165,641.56, 228,527.12 and 108,314.42

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Solution

The fourth proportional to 165,641.56, 228,527.12 and 108,314.42 is: 149,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,641.56 : 228,527.12 = 108,314.42 : x
  2. Step 2: Convert to fraction form
    165,641.56/228,527.12 = 108,314.42/x
  3. Step 3: Cross multiply
    165,641.56x = 228,527.12 × 108,314.42
  4. Step 4: Simplify right side
    165,641.56x = 24,752,782,457.07
  5. Step 5: Solve for x
    x = 24,752,782,457.07/165,641.56
  6. Step 6: Final answer
    x = 149,435.82

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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.