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Finding the Fourth Proportional to 101,964.46, 140,706.36 and 56,645.58

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Solution

The fourth proportional to 101,964.46, 140,706.36 and 56,645.58 is: 78,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,964.46 : 140,706.36 = 56,645.58 : x
  2. Step 2: Convert to fraction form
    101,964.46/140,706.36 = 56,645.58/x
  3. Step 3: Cross multiply
    101,964.46x = 140,706.36 × 56,645.58
  4. Step 4: Simplify right side
    101,964.46x = 7,970,393,371.89
  5. Step 5: Solve for x
    x = 7,970,393,371.89/101,964.46
  6. Step 6: Final answer
    x = 78,168.35

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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.