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Finding the Fourth Proportional to 104,138.40, 156,092.40 and 57,424.80

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Solution

The fourth proportional to 104,138.40, 156,092.40 and 57,424.80 is: 86,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,138.40 : 156,092.40 = 57,424.80 : x
  2. Step 2: Convert to fraction form
    104,138.40/156,092.40 = 57,424.80/x
  3. Step 3: Cross multiply
    104,138.40x = 156,092.40 × 57,424.80
  4. Step 4: Simplify right side
    104,138.40x = 8,963,574,851.52
  5. Step 5: Solve for x
    x = 8,963,574,851.52/104,138.40
  6. Step 6: Final answer
    x = 86,073.68

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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.