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Finding the Fourth Proportional to 162,783.90, 244,175.85 and 57,589.20

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Solution

The fourth proportional to 162,783.90, 244,175.85 and 57,589.20 is: 86,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,783.90 : 244,175.85 = 57,589.20 : x
  2. Step 2: Convert to fraction form
    162,783.90/244,175.85 = 57,589.20/x
  3. Step 3: Cross multiply
    162,783.90x = 244,175.85 × 57,589.20
  4. Step 4: Simplify right side
    162,783.90x = 14,061,891,860.82
  5. Step 5: Solve for x
    x = 14,061,891,860.82/162,783.90
  6. Step 6: Final answer
    x = 86,383.80

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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.