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Finding the Fourth Proportional to 200,800.58, 301,346.53 and 161,828.24

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Solution

The fourth proportional to 200,800.58, 301,346.53 and 161,828.24 is: 242,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,800.58 : 301,346.53 = 161,828.24 : x
  2. Step 2: Convert to fraction form
    200,800.58/301,346.53 = 161,828.24/x
  3. Step 3: Cross multiply
    200,800.58x = 301,346.53 × 161,828.24
  4. Step 4: Simplify right side
    200,800.58x = 48,766,376,668.70
  5. Step 5: Solve for x
    x = 48,766,376,668.70/200,800.58
  6. Step 6: Final answer
    x = 242,859.75

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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.