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Finding the Fourth Proportional to 165,825.84, 228,876.56 and 105,384.68

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Solution

The fourth proportional to 165,825.84, 228,876.56 and 105,384.68 is: 145,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,825.84 : 228,876.56 = 105,384.68 : x
  2. Step 2: Convert to fraction form
    165,825.84/228,876.56 = 105,384.68/x
  3. Step 3: Cross multiply
    165,825.84x = 228,876.56 × 105,384.68
  4. Step 4: Simplify right side
    165,825.84x = 24,120,083,035.10
  5. Step 5: Solve for x
    x = 24,120,083,035.10/165,825.84
  6. Step 6: Final answer
    x = 145,454.31

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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.