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Finding the Fourth Proportional to 194,884.38, 268,941.33 and 105,460.38

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Solution

The fourth proportional to 194,884.38, 268,941.33 and 105,460.38 is: 145,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,884.38 : 268,941.33 = 105,460.38 : x
  2. Step 2: Convert to fraction form
    194,884.38/268,941.33 = 105,460.38/x
  3. Step 3: Cross multiply
    194,884.38x = 268,941.33 × 105,460.38
  4. Step 4: Simplify right side
    194,884.38x = 28,362,654,859.51
  5. Step 5: Solve for x
    x = 28,362,654,859.51/194,884.38
  6. Step 6: Final answer
    x = 145,535.80

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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.