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Finding the Fourth Proportional to 123,842.10, 170,892.63 and 72,856.86

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Solution

The fourth proportional to 123,842.10, 170,892.63 and 72,856.86 is: 100,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,842.10 : 170,892.63 = 72,856.86 : x
  2. Step 2: Convert to fraction form
    123,842.10/170,892.63 = 72,856.86/x
  3. Step 3: Cross multiply
    123,842.10x = 170,892.63 × 72,856.86
  4. Step 4: Simplify right side
    123,842.10x = 12,450,700,418.94
  5. Step 5: Solve for x
    x = 12,450,700,418.94/123,842.10
  6. Step 6: Final answer
    x = 100,536.90

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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.