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Finding the Fourth Proportional to 102,383.36, 153,469.82 and 39,188.66

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Solution

The fourth proportional to 102,383.36, 153,469.82 and 39,188.66 is: 58,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,383.36 : 153,469.82 = 39,188.66 : x
  2. Step 2: Convert to fraction form
    102,383.36/153,469.82 = 39,188.66/x
  3. Step 3: Cross multiply
    102,383.36x = 153,469.82 × 39,188.66
  4. Step 4: Simplify right side
    102,383.36x = 6,014,276,596.24
  5. Step 5: Solve for x
    x = 6,014,276,596.24/102,383.36
  6. Step 6: Final answer
    x = 58,742.72

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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.