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Finding the Fourth Proportional to 302,212.80, 453,304.80 and 102,513.60

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Solution

The fourth proportional to 302,212.80, 453,304.80 and 102,513.60 is: 153,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,212.80 : 453,304.80 = 102,513.60 : x
  2. Step 2: Convert to fraction form
    302,212.80/453,304.80 = 102,513.60/x
  3. Step 3: Cross multiply
    302,212.80x = 453,304.80 × 102,513.60
  4. Step 4: Simplify right side
    302,212.80x = 46,469,906,945.28
  5. Step 5: Solve for x
    x = 46,469,906,945.28/302,212.80
  6. Step 6: Final answer
    x = 153,765.52

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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.