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Finding the Fourth Proportional to 104,097.88, 156,302.34 and 102,542.68

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Solution

The fourth proportional to 104,097.88, 156,302.34 and 102,542.68 is: 153,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,097.88 : 156,302.34 = 102,542.68 : x
  2. Step 2: Convert to fraction form
    104,097.88/156,302.34 = 102,542.68/x
  3. Step 3: Cross multiply
    104,097.88x = 156,302.34 × 102,542.68
  4. Step 4: Simplify right side
    104,097.88x = 16,027,660,833.87
  5. Step 5: Solve for x
    x = 16,027,660,833.87/104,097.88
  6. Step 6: Final answer
    x = 153,967.22

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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.