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Finding the Fourth Proportional to 89,234.34, 123,078.87 and 75,784.29

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Solution

The fourth proportional to 89,234.34, 123,078.87 and 75,784.29 is: 104,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,234.34 : 123,078.87 = 75,784.29 : x
  2. Step 2: Convert to fraction form
    89,234.34/123,078.87 = 75,784.29/x
  3. Step 3: Cross multiply
    89,234.34x = 123,078.87 × 75,784.29
  4. Step 4: Simplify right side
    89,234.34x = 9,327,444,776.95
  5. Step 5: Solve for x
    x = 9,327,444,776.95/89,234.34
  6. Step 6: Final answer
    x = 104,527.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.