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Finding the Fourth Proportional to 180,056.97, 270,098.60 and 61,727.31

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Solution

The fourth proportional to 180,056.97, 270,098.60 and 61,727.31 is: 92,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,056.97 : 270,098.60 = 61,727.31 : x
  2. Step 2: Convert to fraction form
    180,056.97/270,098.60 = 61,727.31/x
  3. Step 3: Cross multiply
    180,056.97x = 270,098.60 × 61,727.31
  4. Step 4: Simplify right side
    180,056.97x = 16,672,459,704.13
  5. Step 5: Solve for x
    x = 16,672,459,704.13/180,056.97
  6. Step 6: Final answer
    x = 92,595.47

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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.