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Finding the Fourth Proportional to 185,843.45, 278,775.75 and 52,713.20

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Solution

The fourth proportional to 185,843.45, 278,775.75 and 52,713.20 is: 79,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,843.45 : 278,775.75 = 52,713.20 : x
  2. Step 2: Convert to fraction form
    185,843.45/278,775.75 = 52,713.20/x
  3. Step 3: Cross multiply
    185,843.45x = 278,775.75 × 52,713.20
  4. Step 4: Simplify right side
    185,843.45x = 14,695,161,864.90
  5. Step 5: Solve for x
    x = 14,695,161,864.90/185,843.45
  6. Step 6: Final answer
    x = 79,072.80

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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.