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Finding the Fourth Proportional to 302,122.34, 416,939.31 and 166,166.58

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Solution

The fourth proportional to 302,122.34, 416,939.31 and 166,166.58 is: 229,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,122.34 : 416,939.31 = 166,166.58 : x
  2. Step 2: Convert to fraction form
    302,122.34/416,939.31 = 166,166.58/x
  3. Step 3: Cross multiply
    302,122.34x = 416,939.31 × 166,166.58
  4. Step 4: Simplify right side
    302,122.34x = 69,281,376,710.15
  5. Step 5: Solve for x
    x = 69,281,376,710.15/302,122.34
  6. Step 6: Final answer
    x = 229,315.63

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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.