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Finding the Fourth Proportional to 165,643.56, 228,529.88 and 108,316.42

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Solution

The fourth proportional to 165,643.56, 228,529.88 and 108,316.42 is: 149,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,643.56 : 228,529.88 = 108,316.42 : x
  2. Step 2: Convert to fraction form
    165,643.56/228,529.88 = 108,316.42/x
  3. Step 3: Cross multiply
    165,643.56x = 228,529.88 × 108,316.42
  4. Step 4: Simplify right side
    165,643.56x = 24,753,538,464.63
  5. Step 5: Solve for x
    x = 24,753,538,464.63/165,643.56
  6. Step 6: Final answer
    x = 149,438.58

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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.