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Finding the Fourth Proportional to 180,453.65, 270,717.84 and 54,088.79

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Solution

The fourth proportional to 180,453.65, 270,717.84 and 54,088.79 is: 81,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,453.65 : 270,717.84 = 54,088.79 : x
  2. Step 2: Convert to fraction form
    180,453.65/270,717.84 = 54,088.79/x
  3. Step 3: Cross multiply
    180,453.65x = 270,717.84 × 54,088.79
  4. Step 4: Simplify right side
    180,453.65x = 14,642,800,397.01
  5. Step 5: Solve for x
    x = 14,642,800,397.01/180,453.65
  6. Step 6: Final answer
    x = 81,144.38

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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.