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Finding the Fourth Proportional to 131,077.44, 180,889.44 and 71,461.44

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Solution

The fourth proportional to 131,077.44, 180,889.44 and 71,461.44 is: 98,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,077.44 : 180,889.44 = 71,461.44 : x
  2. Step 2: Convert to fraction form
    131,077.44/180,889.44 = 71,461.44/x
  3. Step 3: Cross multiply
    131,077.44x = 180,889.44 × 71,461.44
  4. Step 4: Simplify right side
    131,077.44x = 12,926,619,863.19
  5. Step 5: Solve for x
    x = 12,926,619,863.19/131,077.44
  6. Step 6: Final answer
    x = 98,618.19

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Why These Related Problems?

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