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Finding the Fourth Proportional to 129,315.79, 178,457.38 and 72,727.17

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Solution

The fourth proportional to 129,315.79, 178,457.38 and 72,727.17 is: 100,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,315.79 : 178,457.38 = 72,727.17 : x
  2. Step 2: Convert to fraction form
    129,315.79/178,457.38 = 72,727.17/x
  3. Step 3: Cross multiply
    129,315.79x = 178,457.38 × 72,727.17
  4. Step 4: Simplify right side
    129,315.79x = 12,978,699,361.98
  5. Step 5: Solve for x
    x = 12,978,699,361.98/129,315.79
  6. Step 6: Final answer
    x = 100,364.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.