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Finding the Fourth Proportional to 231,410.59, 347,141.40 and 73,602.14

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Solution

The fourth proportional to 231,410.59, 347,141.40 and 73,602.14 is: 110,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,410.59 : 347,141.40 = 73,602.14 : x
  2. Step 2: Convert to fraction form
    231,410.59/347,141.40 = 73,602.14/x
  3. Step 3: Cross multiply
    231,410.59x = 347,141.40 × 73,602.14
  4. Step 4: Simplify right side
    231,410.59x = 25,550,347,910.88
  5. Step 5: Solve for x
    x = 25,550,347,910.88/231,410.59
  6. Step 6: Final answer
    x = 110,411.32

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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.