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Finding the Fourth Proportional to 102,105.37, 153,189.15 and 52,220.44

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Solution

The fourth proportional to 102,105.37, 153,189.15 and 52,220.44 is: 78,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,105.37 : 153,189.15 = 52,220.44 : x
  2. Step 2: Convert to fraction form
    102,105.37/153,189.15 = 52,220.44/x
  3. Step 3: Cross multiply
    102,105.37x = 153,189.15 × 52,220.44
  4. Step 4: Simplify right side
    102,105.37x = 7,999,604,816.23
  5. Step 5: Solve for x
    x = 7,999,604,816.23/102,105.37
  6. Step 6: Final answer
    x = 78,346.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.