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Finding the Fourth Proportional to 302,049.58, 416,829.99 and 166,092.31

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Solution

The fourth proportional to 302,049.58, 416,829.99 and 166,092.31 is: 229,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,049.58 : 416,829.99 = 166,092.31 : x
  2. Step 2: Convert to fraction form
    302,049.58/416,829.99 = 166,092.31/x
  3. Step 3: Cross multiply
    302,049.58x = 416,829.99 × 166,092.31
  4. Step 4: Simplify right side
    302,049.58x = 69,232,255,916.38
  5. Step 5: Solve for x
    x = 69,232,255,916.38/302,049.58
  6. Step 6: Final answer
    x = 229,208.25

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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.