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Finding the Fourth Proportional to 129,457.68, 178,616.64 and 75,756

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Solution

The fourth proportional to 129,457.68, 178,616.64 and 75,756 is: 104,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,457.68 : 178,616.64 = 75,756 : x
  2. Step 2: Convert to fraction form
    129,457.68/178,616.64 = 75,756/x
  3. Step 3: Cross multiply
    129,457.68x = 178,616.64 × 75,756
  4. Step 4: Simplify right side
    129,457.68x = 13,531,282,179.84
  5. Step 5: Solve for x
    x = 13,531,282,179.84/129,457.68
  6. Step 6: Final answer
    x = 104,522.82

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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.