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Finding the Fourth Proportional to 194,931.38, 269,006.12 and 105,507.38

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Solution

The fourth proportional to 194,931.38, 269,006.12 and 105,507.38 is: 145,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,931.38 : 269,006.12 = 105,507.38 : x
  2. Step 2: Convert to fraction form
    194,931.38/269,006.12 = 105,507.38/x
  3. Step 3: Cross multiply
    194,931.38x = 269,006.12 × 105,507.38
  4. Step 4: Simplify right side
    194,931.38x = 28,382,129,052.60
  5. Step 5: Solve for x
    x = 28,382,129,052.60/194,931.38
  6. Step 6: Final answer
    x = 145,600.62

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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.