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Finding the Fourth Proportional to 106,540.30, 159,664.65 and 70,900.30

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Solution

The fourth proportional to 106,540.30, 159,664.65 and 70,900.30 is: 106,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.30 : 159,664.65 = 70,900.30 : x
  2. Step 2: Convert to fraction form
    106,540.30/159,664.65 = 70,900.30/x
  3. Step 3: Cross multiply
    106,540.30x = 159,664.65 × 70,900.30
  4. Step 4: Simplify right side
    106,540.30x = 11,320,271,584.40
  5. Step 5: Solve for x
    x = 11,320,271,584.40/106,540.30
  6. Step 6: Final answer
    x = 106,253.42

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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.