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Finding the Fourth Proportional to 219,451, 302,842.38 and 118,849

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Solution

The fourth proportional to 219,451, 302,842.38 and 118,849 is: 164,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,451 : 302,842.38 = 118,849 : x
  2. Step 2: Convert to fraction form
    219,451/302,842.38 = 118,849/x
  3. Step 3: Cross multiply
    219,451x = 302,842.38 × 118,849
  4. Step 4: Simplify right side
    219,451x = 35,992,514,020.62
  5. Step 5: Solve for x
    x = 35,992,514,020.62/219,451
  6. Step 6: Final answer
    x = 164,011.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.