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Finding the Fourth Proportional to 156,853.94, 235,116.42 and 76,781.49

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Solution

The fourth proportional to 156,853.94, 235,116.42 and 76,781.49 is: 115,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,853.94 : 235,116.42 = 76,781.49 : x
  2. Step 2: Convert to fraction form
    156,853.94/235,116.42 = 76,781.49/x
  3. Step 3: Cross multiply
    156,853.94x = 235,116.42 × 76,781.49
  4. Step 4: Simplify right side
    156,853.94x = 18,052,589,051.07
  5. Step 5: Solve for x
    x = 18,052,589,051.07/156,853.94
  6. Step 6: Final answer
    x = 115,091.72

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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.