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Finding the Fourth Proportional to 302,123.09, 416,934.66 and 166,162.97

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Solution

The fourth proportional to 302,123.09, 416,934.66 and 166,162.97 is: 229,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,123.09 : 416,934.66 = 166,162.97 : x
  2. Step 2: Convert to fraction form
    302,123.09/416,934.66 = 166,162.97/x
  3. Step 3: Cross multiply
    302,123.09x = 416,934.66 × 166,162.97
  4. Step 4: Simplify right side
    302,123.09x = 69,279,099,316.87
  5. Step 5: Solve for x
    x = 69,279,099,316.87/302,123.09
  6. Step 6: Final answer
    x = 229,307.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.