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Finding the Fourth Proportional to 214,274.16, 321,385.32 and 56,514.51

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Solution

The fourth proportional to 214,274.16, 321,385.32 and 56,514.51 is: 84,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,274.16 : 321,385.32 = 56,514.51 : x
  2. Step 2: Convert to fraction form
    214,274.16/321,385.32 = 56,514.51/x
  3. Step 3: Cross multiply
    214,274.16x = 321,385.32 × 56,514.51
  4. Step 4: Simplify right side
    214,274.16x = 18,162,933,880.99
  5. Step 5: Solve for x
    x = 18,162,933,880.99/214,274.16
  6. Step 6: Final answer
    x = 84,764.93

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