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Finding the Fourth Proportional to 219,451.25, 302,842.73 and 118,849.25

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Solution

The fourth proportional to 219,451.25, 302,842.73 and 118,849.25 is: 164,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,451.25 : 302,842.73 = 118,849.25 : x
  2. Step 2: Convert to fraction form
    219,451.25/302,842.73 = 118,849.25/x
  3. Step 3: Cross multiply
    219,451.25x = 302,842.73 × 118,849.25
  4. Step 4: Simplify right side
    219,451.25x = 35,992,631,328.45
  5. Step 5: Solve for x
    x = 35,992,631,328.45/219,451.25
  6. Step 6: Final answer
    x = 164,011.97

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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.