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Finding the Fourth Proportional to 188,052.72, 282,080.16 and 47,811.48

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Solution

The fourth proportional to 188,052.72, 282,080.16 and 47,811.48 is: 71,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,052.72 : 282,080.16 = 47,811.48 : x
  2. Step 2: Convert to fraction form
    188,052.72/282,080.16 = 47,811.48/x
  3. Step 3: Cross multiply
    188,052.72x = 282,080.16 × 47,811.48
  4. Step 4: Simplify right side
    188,052.72x = 13,486,669,928.24
  5. Step 5: Solve for x
    x = 13,486,669,928.24/188,052.72
  6. Step 6: Final answer
    x = 71,717.49

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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.