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Finding the Fourth Proportional to 119,441.64, 179,201.36 and 57,117

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Solution

The fourth proportional to 119,441.64, 179,201.36 and 57,117 is: 85,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,441.64 : 179,201.36 = 57,117 : x
  2. Step 2: Convert to fraction form
    119,441.64/179,201.36 = 57,117/x
  3. Step 3: Cross multiply
    119,441.64x = 179,201.36 × 57,117
  4. Step 4: Simplify right side
    119,441.64x = 10,235,444,079.12
  5. Step 5: Solve for x
    x = 10,235,444,079.12/119,441.64
  6. Step 6: Final answer
    x = 85,694.10

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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.