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Finding the Fourth Proportional to 116,415.60, 174,234.60 and 102,418.80

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Solution

The fourth proportional to 116,415.60, 174,234.60 and 102,418.80 is: 153,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,415.60 : 174,234.60 = 102,418.80 : x
  2. Step 2: Convert to fraction form
    116,415.60/174,234.60 = 102,418.80/x
  3. Step 3: Cross multiply
    116,415.60x = 174,234.60 × 102,418.80
  4. Step 4: Simplify right side
    116,415.60x = 17,844,898,650.48
  5. Step 5: Solve for x
    x = 17,844,898,650.48/116,415.60
  6. Step 6: Final answer
    x = 153,286.15

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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.