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Finding the Fourth Proportional to 206,682.44, 310,025.32 and 56,931

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Solution

The fourth proportional to 206,682.44, 310,025.32 and 56,931 is: 85,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,682.44 : 310,025.32 = 56,931 : x
  2. Step 2: Convert to fraction form
    206,682.44/310,025.32 = 56,931/x
  3. Step 3: Cross multiply
    206,682.44x = 310,025.32 × 56,931
  4. Step 4: Simplify right side
    206,682.44x = 17,650,051,492.92
  5. Step 5: Solve for x
    x = 17,650,051,492.92/206,682.44
  6. Step 6: Final answer
    x = 85,396.96

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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.