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Finding the Fourth Proportional to 133,201.16, 199,809.44 and 50,095.88

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Solution

The fourth proportional to 133,201.16, 199,809.44 and 50,095.88 is: 75,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,201.16 : 199,809.44 = 50,095.88 : x
  2. Step 2: Convert to fraction form
    133,201.16/199,809.44 = 50,095.88/x
  3. Step 3: Cross multiply
    133,201.16x = 199,809.44 × 50,095.88
  4. Step 4: Simplify right side
    133,201.16x = 10,009,629,729.11
  5. Step 5: Solve for x
    x = 10,009,629,729.11/133,201.16
  6. Step 6: Final answer
    x = 75,146.72

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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.