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Finding the Fourth Proportional to 161,282.70, 241,729.65 and 82,356.30

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Solution

The fourth proportional to 161,282.70, 241,729.65 and 82,356.30 is: 123,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,282.70 : 241,729.65 = 82,356.30 : x
  2. Step 2: Convert to fraction form
    161,282.70/241,729.65 = 82,356.30/x
  3. Step 3: Cross multiply
    161,282.70x = 241,729.65 × 82,356.30
  4. Step 4: Simplify right side
    161,282.70x = 19,907,959,574.30
  5. Step 5: Solve for x
    x = 19,907,959,574.30/161,282.70
  6. Step 6: Final answer
    x = 123,435.18

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Why These Related Problems?

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