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Finding the Fourth Proportional to 106,415.20, 159,622.80 and 36,296.80

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Solution

The fourth proportional to 106,415.20, 159,622.80 and 36,296.80 is: 54,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,415.20 : 159,622.80 = 36,296.80 : x
  2. Step 2: Convert to fraction form
    106,415.20/159,622.80 = 36,296.80/x
  3. Step 3: Cross multiply
    106,415.20x = 159,622.80 × 36,296.80
  4. Step 4: Simplify right side
    106,415.20x = 5,793,796,847.04
  5. Step 5: Solve for x
    x = 5,793,796,847.04/106,415.20
  6. Step 6: Final answer
    x = 54,445.20

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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.