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Finding the Fourth Proportional to 102,104.37, 153,187.65 and 52,219.44

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Solution

The fourth proportional to 102,104.37, 153,187.65 and 52,219.44 is: 78,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.37 : 153,187.65 = 52,219.44 : x
  2. Step 2: Convert to fraction form
    102,104.37/153,187.65 = 52,219.44/x
  3. Step 3: Cross multiply
    102,104.37x = 153,187.65 × 52,219.44
  4. Step 4: Simplify right side
    102,104.37x = 7,999,373,297.92
  5. Step 5: Solve for x
    x = 7,999,373,297.92/102,104.37
  6. Step 6: Final answer
    x = 78,345.06

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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.