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Finding the Fourth Proportional to 165,169.29, 227,830.80 and 137,503.35

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Solution

The fourth proportional to 165,169.29, 227,830.80 and 137,503.35 is: 189,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,169.29 : 227,830.80 = 137,503.35 : x
  2. Step 2: Convert to fraction form
    165,169.29/227,830.80 = 137,503.35/x
  3. Step 3: Cross multiply
    165,169.29x = 227,830.80 × 137,503.35
  4. Step 4: Simplify right side
    165,169.29x = 31,327,498,233.18
  5. Step 5: Solve for x
    x = 31,327,498,233.18/165,169.29
  6. Step 6: Final answer
    x = 189,669.03

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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.