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Finding the Fourth Proportional to 180,148.66, 270,227.09 and 61,821.02

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Solution

The fourth proportional to 180,148.66, 270,227.09 and 61,821.02 is: 92,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,148.66 : 270,227.09 = 61,821.02 : x
  2. Step 2: Convert to fraction form
    180,148.66/270,227.09 = 61,821.02/x
  3. Step 3: Cross multiply
    180,148.66x = 270,227.09 × 61,821.02
  4. Step 4: Simplify right side
    180,148.66x = 16,705,714,817.81
  5. Step 5: Solve for x
    x = 16,705,714,817.81/180,148.66
  6. Step 6: Final answer
    x = 92,732.94

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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.