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Finding the Fourth Proportional to 165,825.57, 228,876.21 and 105,384.42

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Solution

The fourth proportional to 165,825.57, 228,876.21 and 105,384.42 is: 145,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,825.57 : 228,876.21 = 105,384.42 : x
  2. Step 2: Convert to fraction form
    165,825.57/228,876.21 = 105,384.42/x
  3. Step 3: Cross multiply
    165,825.57x = 228,876.21 × 105,384.42
  4. Step 4: Simplify right side
    165,825.57x = 24,119,986,642.65
  5. Step 5: Solve for x
    x = 24,119,986,642.65/165,825.57
  6. Step 6: Final answer
    x = 145,453.96

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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.