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Finding the Fourth Proportional to 180,564.34, 270,745.21 and 123,702.48

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Solution

The fourth proportional to 180,564.34, 270,745.21 and 123,702.48 is: 185,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,564.34 : 270,745.21 = 123,702.48 : x
  2. Step 2: Convert to fraction form
    180,564.34/270,745.21 = 123,702.48/x
  3. Step 3: Cross multiply
    180,564.34x = 270,745.21 × 123,702.48
  4. Step 4: Simplify right side
    180,564.34x = 33,491,853,925.12
  5. Step 5: Solve for x
    x = 33,491,853,925.12/180,564.34
  6. Step 6: Final answer
    x = 185,484.32

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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.