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Finding the Fourth Proportional to 106,605.90, 159,908.31 and 100,110.06

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Solution

The fourth proportional to 106,605.90, 159,908.31 and 100,110.06 is: 150,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,605.90 : 159,908.31 = 100,110.06 : x
  2. Step 2: Convert to fraction form
    106,605.90/159,908.31 = 100,110.06/x
  3. Step 3: Cross multiply
    106,605.90x = 159,908.31 × 100,110.06
  4. Step 4: Simplify right side
    106,605.90x = 16,008,430,508.60
  5. Step 5: Solve for x
    x = 16,008,430,508.60/106,605.90
  6. Step 6: Final answer
    x = 150,164.58

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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.