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Finding the Fourth Proportional to 302,132.69, 416,934.27 and 166,166.49

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Solution

The fourth proportional to 302,132.69, 416,934.27 and 166,166.49 is: 229,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,132.69 : 416,934.27 = 166,166.49 : x
  2. Step 2: Convert to fraction form
    302,132.69/416,934.27 = 166,166.49/x
  3. Step 3: Cross multiply
    302,132.69x = 416,934.27 × 166,166.49
  4. Step 4: Simplify right side
    302,132.69x = 69,280,504,206.61
  5. Step 5: Solve for x
    x = 69,280,504,206.61/302,132.69
  6. Step 6: Final answer
    x = 229,304.90

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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.