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Finding the Fourth Proportional to 231,655.87, 347,509.72 and 73,847.71

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Solution

The fourth proportional to 231,655.87, 347,509.72 and 73,847.71 is: 110,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,655.87 : 347,509.72 = 73,847.71 : x
  2. Step 2: Convert to fraction form
    231,655.87/347,509.72 = 73,847.71/x
  3. Step 3: Cross multiply
    231,655.87x = 347,509.72 × 73,847.71
  4. Step 4: Simplify right side
    231,655.87x = 25,662,795,287.19
  5. Step 5: Solve for x
    x = 25,662,795,287.19/231,655.87
  6. Step 6: Final answer
    x = 110,779.82

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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.