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Finding the Fourth Proportional to 302,062.14, 416,938.68 and 194,631.84

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Solution

The fourth proportional to 302,062.14, 416,938.68 and 194,631.84 is: 268,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,062.14 : 416,938.68 = 194,631.84 : x
  2. Step 2: Convert to fraction form
    302,062.14/416,938.68 = 194,631.84/x
  3. Step 3: Cross multiply
    302,062.14x = 416,938.68 × 194,631.84
  4. Step 4: Simplify right side
    302,062.14x = 81,149,542,455.57
  5. Step 5: Solve for x
    x = 81,149,542,455.57/302,062.14
  6. Step 6: Final answer
    x = 268,651.82

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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.