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Finding the Fourth Proportional to 165,437, 228,304.16 and 89,986.04

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Solution

The fourth proportional to 165,437, 228,304.16 and 89,986.04 is: 124,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,437 : 228,304.16 = 89,986.04 : x
  2. Step 2: Convert to fraction form
    165,437/228,304.16 = 89,986.04/x
  3. Step 3: Cross multiply
    165,437x = 228,304.16 × 89,986.04
  4. Step 4: Simplify right side
    165,437x = 20,544,187,273.93
  5. Step 5: Solve for x
    x = 20,544,187,273.93/165,437
  6. Step 6: Final answer
    x = 124,181.33

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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.