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Finding the Fourth Proportional to 120,206.52, 180,398.37 and 57,026.84

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Solution

The fourth proportional to 120,206.52, 180,398.37 and 57,026.84 is: 85,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,206.52 : 180,398.37 = 57,026.84 : x
  2. Step 2: Convert to fraction form
    120,206.52/180,398.37 = 57,026.84/x
  3. Step 3: Cross multiply
    120,206.52x = 180,398.37 × 57,026.84
  4. Step 4: Simplify right side
    120,206.52x = 10,287,548,080.26
  5. Step 5: Solve for x
    x = 10,287,548,080.26/120,206.52
  6. Step 6: Final answer
    x = 85,582.28

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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.