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Finding the Fourth Proportional to 253,204.96, 379,994.04 and 120,085.60

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Solution

The fourth proportional to 253,204.96, 379,994.04 and 120,085.60 is: 180,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,204.96 : 379,994.04 = 120,085.60 : x
  2. Step 2: Convert to fraction form
    253,204.96/379,994.04 = 120,085.60/x
  3. Step 3: Cross multiply
    253,204.96x = 379,994.04 × 120,085.60
  4. Step 4: Simplify right side
    253,204.96x = 45,631,812,289.82
  5. Step 5: Solve for x
    x = 45,631,812,289.82/253,204.96
  6. Step 6: Final answer
    x = 180,216.90

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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.