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Finding the Fourth Proportional to 106,160.80, 159,215.58 and 31,260.58

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Solution

The fourth proportional to 106,160.80, 159,215.58 and 31,260.58 is: 46,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,160.80 : 159,215.58 = 31,260.58 : x
  2. Step 2: Convert to fraction form
    106,160.80/159,215.58 = 31,260.58/x
  3. Step 3: Cross multiply
    106,160.80x = 159,215.58 × 31,260.58
  4. Step 4: Simplify right side
    106,160.80x = 4,977,171,375.84
  5. Step 5: Solve for x
    x = 4,977,171,375.84/106,160.80
  6. Step 6: Final answer
    x = 46,883.33

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1.5x scale

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.