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Finding the Fourth Proportional to 297,185.51, 445,889.24 and 119,742.86

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Solution

The fourth proportional to 297,185.51, 445,889.24 and 119,742.86 is: 179,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,185.51 : 445,889.24 = 119,742.86 : x
  2. Step 2: Convert to fraction form
    297,185.51/445,889.24 = 119,742.86/x
  3. Step 3: Cross multiply
    297,185.51x = 445,889.24 × 119,742.86
  4. Step 4: Simplify right side
    297,185.51x = 53,392,052,840.83
  5. Step 5: Solve for x
    x = 53,392,052,840.83/297,185.51
  6. Step 6: Final answer
    x = 179,659.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.