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Finding the Fourth Proportional to 113,609.94, 156,782.34 and 65,891.58

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Solution

The fourth proportional to 113,609.94, 156,782.34 and 65,891.58 is: 90,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,609.94 : 156,782.34 = 65,891.58 : x
  2. Step 2: Convert to fraction form
    113,609.94/156,782.34 = 65,891.58/x
  3. Step 3: Cross multiply
    113,609.94x = 156,782.34 × 65,891.58
  4. Step 4: Simplify right side
    113,609.94x = 10,330,636,098.70
  5. Step 5: Solve for x
    x = 10,330,636,098.70/113,609.94
  6. Step 6: Final answer
    x = 90,930.74

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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.