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Finding the Fourth Proportional to 129,435.04, 194,073.27 and 50,457

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Solution

The fourth proportional to 129,435.04, 194,073.27 and 50,457 is: 75,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,435.04 : 194,073.27 = 50,457 : x
  2. Step 2: Convert to fraction form
    129,435.04/194,073.27 = 50,457/x
  3. Step 3: Cross multiply
    129,435.04x = 194,073.27 × 50,457
  4. Step 4: Simplify right side
    129,435.04x = 9,792,354,984.39
  5. Step 5: Solve for x
    x = 9,792,354,984.39/129,435.04
  6. Step 6: Final answer
    x = 75,654.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.