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Finding the Fourth Proportional to 113,137.31, 169,742.82 and 53,965.28

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Solution

The fourth proportional to 113,137.31, 169,742.82 and 53,965.28 is: 80,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,137.31 : 169,742.82 = 53,965.28 : x
  2. Step 2: Convert to fraction form
    113,137.31/169,742.82 = 53,965.28/x
  3. Step 3: Cross multiply
    113,137.31x = 169,742.82 × 53,965.28
  4. Step 4: Simplify right side
    113,137.31x = 9,160,217,960.58
  5. Step 5: Solve for x
    x = 9,160,217,960.58/113,137.31
  6. Step 6: Final answer
    x = 80,965.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.