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Finding the Fourth Proportional to 104,097.80, 156,002.70 and 83,073.80

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Solution

The fourth proportional to 104,097.80, 156,002.70 and 83,073.80 is: 124,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,097.80 : 156,002.70 = 83,073.80 : x
  2. Step 2: Convert to fraction form
    104,097.80/156,002.70 = 83,073.80/x
  3. Step 3: Cross multiply
    104,097.80x = 156,002.70 × 83,073.80
  4. Step 4: Simplify right side
    104,097.80x = 12,959,737,099.26
  5. Step 5: Solve for x
    x = 12,959,737,099.26/104,097.80
  6. Step 6: Final answer
    x = 124,495.78

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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.