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Finding the Fourth Proportional to 185,891.25, 278,836.29 and 52,771.59

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Solution

The fourth proportional to 185,891.25, 278,836.29 and 52,771.59 is: 79,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,891.25 : 278,836.29 = 52,771.59 : x
  2. Step 2: Convert to fraction form
    185,891.25/278,836.29 = 52,771.59/x
  3. Step 3: Cross multiply
    185,891.25x = 278,836.29 × 52,771.59
  4. Step 4: Simplify right side
    185,891.25x = 14,714,634,373.00
  5. Step 5: Solve for x
    x = 14,714,634,373.00/185,891.25
  6. Step 6: Final answer
    x = 79,157.22

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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.