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Finding the Fourth Proportional to 102,523.96, 153,661.24 and 72,546.84

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Solution

The fourth proportional to 102,523.96, 153,661.24 and 72,546.84 is: 108,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,523.96 : 153,661.24 = 72,546.84 : x
  2. Step 2: Convert to fraction form
    102,523.96/153,661.24 = 72,546.84/x
  3. Step 3: Cross multiply
    102,523.96x = 153,661.24 × 72,546.84
  4. Step 4: Simplify right side
    102,523.96x = 11,147,637,392.48
  5. Step 5: Solve for x
    x = 11,147,637,392.48/102,523.96
  6. Step 6: Final answer
    x = 108,732.02

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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.