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Finding the Fourth Proportional to 161,298.33, 241,996.70 and 82,467.91

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Solution

The fourth proportional to 161,298.33, 241,996.70 and 82,467.91 is: 123,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,298.33 : 241,996.70 = 82,467.91 : x
  2. Step 2: Convert to fraction form
    161,298.33/241,996.70 = 82,467.91/x
  3. Step 3: Cross multiply
    161,298.33x = 241,996.70 × 82,467.91
  4. Step 4: Simplify right side
    161,298.33x = 19,956,962,075.90
  5. Step 5: Solve for x
    x = 19,956,962,075.90/161,298.33
  6. Step 6: Final answer
    x = 123,727.02

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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.