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Finding the Fourth Proportional to 165,888.27, 228,915.32 and 109,376.19

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Solution

The fourth proportional to 165,888.27, 228,915.32 and 109,376.19 is: 150,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,888.27 : 228,915.32 = 109,376.19 : x
  2. Step 2: Convert to fraction form
    165,888.27/228,915.32 = 109,376.19/x
  3. Step 3: Cross multiply
    165,888.27x = 228,915.32 × 109,376.19
  4. Step 4: Simplify right side
    165,888.27x = 25,037,884,987.35
  5. Step 5: Solve for x
    x = 25,037,884,987.35/165,888.27
  6. Step 6: Final answer
    x = 150,932.22

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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.