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Finding the Fourth Proportional to 302,005.31, 416,768.15 and 166,053.15

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Solution

The fourth proportional to 302,005.31, 416,768.15 and 166,053.15 is: 229,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,005.31 : 416,768.15 = 166,053.15 : x
  2. Step 2: Convert to fraction form
    302,005.31/416,768.15 = 166,053.15/x
  3. Step 3: Cross multiply
    302,005.31x = 416,768.15 × 166,053.15
  4. Step 4: Simplify right side
    302,005.31x = 69,205,664,542.31
  5. Step 5: Solve for x
    x = 69,205,664,542.31/302,005.31
  6. Step 6: Final answer
    x = 229,153.80

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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.