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Finding the Fourth Proportional to 106,205.54, 146,567.54 and 58,460.90

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Solution

The fourth proportional to 106,205.54, 146,567.54 and 58,460.90 is: 80,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,205.54 : 146,567.54 = 58,460.90 : x
  2. Step 2: Convert to fraction form
    106,205.54/146,567.54 = 58,460.90/x
  3. Step 3: Cross multiply
    106,205.54x = 146,567.54 × 58,460.90
  4. Step 4: Simplify right side
    106,205.54x = 8,568,469,712.50
  5. Step 5: Solve for x
    x = 8,568,469,712.50/106,205.54
  6. Step 6: Final answer
    x = 80,678.18

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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.