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Finding the Fourth Proportional to 165,546, 228,437.69 and 92,932.29

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Solution

The fourth proportional to 165,546, 228,437.69 and 92,932.29 is: 128,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,546 : 228,437.69 = 92,932.29 : x
  2. Step 2: Convert to fraction form
    165,546/228,437.69 = 92,932.29/x
  3. Step 3: Cross multiply
    165,546x = 228,437.69 × 92,932.29
  4. Step 4: Simplify right side
    165,546x = 21,229,237,189.35
  5. Step 5: Solve for x
    x = 21,229,237,189.35/165,546
  6. Step 6: Final answer
    x = 128,237.69

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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.