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Finding the Fourth Proportional to 208,852.20, 313,278.30 and 120,378.60

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Solution

The fourth proportional to 208,852.20, 313,278.30 and 120,378.60 is: 180,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,852.20 : 313,278.30 = 120,378.60 : x
  2. Step 2: Convert to fraction form
    208,852.20/313,278.30 = 120,378.60/x
  3. Step 3: Cross multiply
    208,852.20x = 313,278.30 × 120,378.60
  4. Step 4: Simplify right side
    208,852.20x = 37,712,003,164.38
  5. Step 5: Solve for x
    x = 37,712,003,164.38/208,852.20
  6. Step 6: Final answer
    x = 180,567.90

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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.