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Finding the Fourth Proportional to 98,206.46, 135,525.84 and 55,765.88

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Solution

The fourth proportional to 98,206.46, 135,525.84 and 55,765.88 is: 76,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206.46 : 135,525.84 = 55,765.88 : x
  2. Step 2: Convert to fraction form
    98,206.46/135,525.84 = 55,765.88/x
  3. Step 3: Cross multiply
    98,206.46x = 135,525.84 × 55,765.88
  4. Step 4: Simplify right side
    98,206.46x = 7,557,717,730.34
  5. Step 5: Solve for x
    x = 7,557,717,730.34/98,206.46
  6. Step 6: Final answer
    x = 76,957.44

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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.