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Finding the Fourth Proportional to 302,102.38, 416,911.99 and 166,146.84

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Solution

The fourth proportional to 302,102.38, 416,911.99 and 166,146.84 is: 229,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,102.38 : 416,911.99 = 166,146.84 : x
  2. Step 2: Convert to fraction form
    302,102.38/416,911.99 = 166,146.84/x
  3. Step 3: Cross multiply
    302,102.38x = 416,911.99 × 166,146.84
  4. Step 4: Simplify right side
    302,102.38x = 69,268,609,696.61
  5. Step 5: Solve for x
    x = 69,268,609,696.61/302,102.38
  6. Step 6: Final answer
    x = 229,288.53

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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.