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Finding the Fourth Proportional to 100,077.42, 137,528.80 and 95,451.66

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Solution

The fourth proportional to 100,077.42, 137,528.80 and 95,451.66 is: 131,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,077.42 : 137,528.80 = 95,451.66 : x
  2. Step 2: Convert to fraction form
    100,077.42/137,528.80 = 95,451.66/x
  3. Step 3: Cross multiply
    100,077.42x = 137,528.80 × 95,451.66
  4. Step 4: Simplify right side
    100,077.42x = 13,127,352,257.81
  5. Step 5: Solve for x
    x = 13,127,352,257.81/100,077.42
  6. Step 6: Final answer
    x = 131,171.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.