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Finding the Fourth Proportional to 214,616.34, 321,926.32 and 81,460.84

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Solution

The fourth proportional to 214,616.34, 321,926.32 and 81,460.84 is: 122,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,616.34 : 321,926.32 = 81,460.84 : x
  2. Step 2: Convert to fraction form
    214,616.34/321,926.32 = 81,460.84/x
  3. Step 3: Cross multiply
    214,616.34x = 321,926.32 × 81,460.84
  4. Step 4: Simplify right side
    214,616.34x = 26,224,388,445.31
  5. Step 5: Solve for x
    x = 26,224,388,445.31/214,616.34
  6. Step 6: Final answer
    x = 122,191.95

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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.