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Finding the Fourth Proportional to 120,273.84, 180,357.44 and 64,103.49

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Solution

The fourth proportional to 120,273.84, 180,357.44 and 64,103.49 is: 96,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.84 : 180,357.44 = 64,103.49 : x
  2. Step 2: Convert to fraction form
    120,273.84/180,357.44 = 64,103.49/x
  3. Step 3: Cross multiply
    120,273.84x = 180,357.44 × 64,103.49
  4. Step 4: Simplify right side
    120,273.84x = 11,561,541,030.95
  5. Step 5: Solve for x
    x = 11,561,541,030.95/120,273.84
  6. Step 6: Final answer
    x = 96,126.81

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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.