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Finding the Fourth Proportional to 180,149.66, 270,228.59 and 61,822.02

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Solution

The fourth proportional to 180,149.66, 270,228.59 and 61,822.02 is: 92,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,149.66 : 270,228.59 = 61,822.02 : x
  2. Step 2: Convert to fraction form
    180,149.66/270,228.59 = 61,822.02/x
  3. Step 3: Cross multiply
    180,149.66x = 270,228.59 × 61,822.02
  4. Step 4: Simplify right side
    180,149.66x = 16,706,077,295.55
  5. Step 5: Solve for x
    x = 16,706,077,295.55/180,149.66
  6. Step 6: Final answer
    x = 92,734.44

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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.