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Finding the Fourth Proportional to 231,772.68, 347,712.93 and 71,840.13

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Solution

The fourth proportional to 231,772.68, 347,712.93 and 71,840.13 is: 107,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,772.68 : 347,712.93 = 71,840.13 : x
  2. Step 2: Convert to fraction form
    231,772.68/347,712.93 = 71,840.13/x
  3. Step 3: Cross multiply
    231,772.68x = 347,712.93 × 71,840.13
  4. Step 4: Simplify right side
    231,772.68x = 24,979,742,093.88
  5. Step 5: Solve for x
    x = 24,979,742,093.88/231,772.68
  6. Step 6: Final answer
    x = 107,776.90

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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.