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Finding the Fourth Proportional to 302,040.79, 416,805.61 and 166,073.78

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Solution

The fourth proportional to 302,040.79, 416,805.61 and 166,073.78 is: 229,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,040.79 : 416,805.61 = 166,073.78 : x
  2. Step 2: Convert to fraction form
    302,040.79/416,805.61 = 166,073.78/x
  3. Step 3: Cross multiply
    302,040.79x = 416,805.61 × 166,073.78
  4. Step 4: Simplify right side
    302,040.79x = 69,220,483,177.91
  5. Step 5: Solve for x
    x = 69,220,483,177.91/302,040.79
  6. Step 6: Final answer
    x = 229,175.94

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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.