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Finding the Fourth Proportional to 120,198.59, 180,307.37 and 40,237.01

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Solution

The fourth proportional to 120,198.59, 180,307.37 and 40,237.01 is: 60,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,198.59 : 180,307.37 = 40,237.01 : x
  2. Step 2: Convert to fraction form
    120,198.59/180,307.37 = 40,237.01/x
  3. Step 3: Cross multiply
    120,198.59x = 180,307.37 × 40,237.01
  4. Step 4: Simplify right side
    120,198.59x = 7,255,028,347.04
  5. Step 5: Solve for x
    x = 7,255,028,347.04/120,198.59
  6. Step 6: Final answer
    x = 60,358.68

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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.