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Finding the Fourth Proportional to 120,542.25, 180,813.38 and 46,670.25

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Solution

The fourth proportional to 120,542.25, 180,813.38 and 46,670.25 is: 70,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,542.25 : 180,813.38 = 46,670.25 : x
  2. Step 2: Convert to fraction form
    120,542.25/180,813.38 = 46,670.25/x
  3. Step 3: Cross multiply
    120,542.25x = 180,813.38 × 46,670.25
  4. Step 4: Simplify right side
    120,542.25x = 8,438,605,414.59
  5. Step 5: Solve for x
    x = 8,438,605,414.59/120,542.25
  6. Step 6: Final answer
    x = 70,005.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.