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Finding the Fourth Proportional to 180,385.80, 270,502.58 and 54,044.01

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Solution

The fourth proportional to 180,385.80, 270,502.58 and 54,044.01 is: 81,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,385.80 : 270,502.58 = 54,044.01 : x
  2. Step 2: Convert to fraction form
    180,385.80/270,502.58 = 54,044.01/x
  3. Step 3: Cross multiply
    180,385.80x = 270,502.58 × 54,044.01
  4. Step 4: Simplify right side
    180,385.80x = 14,619,044,121.66
  5. Step 5: Solve for x
    x = 14,619,044,121.66/180,385.80
  6. Step 6: Final answer
    x = 81,043.21

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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.