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Finding the Fourth Proportional to 180,453.66, 270,717.84 and 54,088.80

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Solution

The fourth proportional to 180,453.66, 270,717.84 and 54,088.80 is: 81,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,453.66 : 270,717.84 = 54,088.80 : x
  2. Step 2: Convert to fraction form
    180,453.66/270,717.84 = 54,088.80/x
  3. Step 3: Cross multiply
    180,453.66x = 270,717.84 × 54,088.80
  4. Step 4: Simplify right side
    180,453.66x = 14,642,803,104.19
  5. Step 5: Solve for x
    x = 14,642,803,104.19/180,453.66
  6. Step 6: Final answer
    x = 81,144.40

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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.