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Finding the Fourth Proportional to 106,164.37, 159,016.87 and 49,920.20

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Solution

The fourth proportional to 106,164.37, 159,016.87 and 49,920.20 is: 74,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,164.37 : 159,016.87 = 49,920.20 : x
  2. Step 2: Convert to fraction form
    106,164.37/159,016.87 = 49,920.20/x
  3. Step 3: Cross multiply
    106,164.37x = 159,016.87 × 49,920.20
  4. Step 4: Simplify right side
    106,164.37x = 7,938,153,817.40
  5. Step 5: Solve for x
    x = 7,938,153,817.40/106,164.37
  6. Step 6: Final answer
    x = 74,772.30

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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.