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Finding the Fourth Proportional to 187,701.64, 281,579.91 and 54,564.60

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Solution

The fourth proportional to 187,701.64, 281,579.91 and 54,564.60 is: 81,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,701.64 : 281,579.91 = 54,564.60 : x
  2. Step 2: Convert to fraction form
    187,701.64/281,579.91 = 54,564.60/x
  3. Step 3: Cross multiply
    187,701.64x = 281,579.91 × 54,564.60
  4. Step 4: Simplify right side
    187,701.64x = 15,364,295,157.19
  5. Step 5: Solve for x
    x = 15,364,295,157.19/187,701.64
  6. Step 6: Final answer
    x = 81,854.88

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Why These Related Problems?

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