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Finding the Fourth Proportional to 161,698.92, 242,100.54 and 82,642.92

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Solution

The fourth proportional to 161,698.92, 242,100.54 and 82,642.92 is: 123,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,698.92 : 242,100.54 = 82,642.92 : x
  2. Step 2: Convert to fraction form
    161,698.92/242,100.54 = 82,642.92/x
  3. Step 3: Cross multiply
    161,698.92x = 242,100.54 × 82,642.92
  4. Step 4: Simplify right side
    161,698.92x = 20,007,895,559.18
  5. Step 5: Solve for x
    x = 20,007,895,559.18/161,698.92
  6. Step 6: Final answer
    x = 123,735.49

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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.