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Finding the Fourth Proportional to 165,901.40, 248,852.10 and 82,957.40

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Solution

The fourth proportional to 165,901.40, 248,852.10 and 82,957.40 is: 124,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,901.40 : 248,852.10 = 82,957.40 : x
  2. Step 2: Convert to fraction form
    165,901.40/248,852.10 = 82,957.40/x
  3. Step 3: Cross multiply
    165,901.40x = 248,852.10 × 82,957.40
  4. Step 4: Simplify right side
    165,901.40x = 20,644,123,200.54
  5. Step 5: Solve for x
    x = 20,644,123,200.54/165,901.40
  6. Step 6: Final answer
    x = 124,436.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.