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Finding the Fourth Proportional to 270,730.86, 406,165.41 and 81,190.50

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Solution

The fourth proportional to 270,730.86, 406,165.41 and 81,190.50 is: 121,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,730.86 : 406,165.41 = 81,190.50 : x
  2. Step 2: Convert to fraction form
    270,730.86/406,165.41 = 81,190.50/x
  3. Step 3: Cross multiply
    270,730.86x = 406,165.41 × 81,190.50
  4. Step 4: Simplify right side
    270,730.86x = 32,976,772,720.61
  5. Step 5: Solve for x
    x = 32,976,772,720.61/270,730.86
  6. Step 6: Final answer
    x = 121,806.48

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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.