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Finding the Fourth Proportional to 180,452.65, 270,716.34 and 54,087.79

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Solution

The fourth proportional to 180,452.65, 270,716.34 and 54,087.79 is: 81,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,452.65 : 270,716.34 = 54,087.79 : x
  2. Step 2: Convert to fraction form
    180,452.65/270,716.34 = 54,087.79/x
  3. Step 3: Cross multiply
    180,452.65x = 270,716.34 × 54,087.79
  4. Step 4: Simplify right side
    180,452.65x = 14,642,448,547.49
  5. Step 5: Solve for x
    x = 14,642,448,547.49/180,452.65
  6. Step 6: Final answer
    x = 81,142.88

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Why These Related Problems?

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