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Finding the Fourth Proportional to 471,107.60, 706,644.60 and 134,149.88

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Solution

The fourth proportional to 471,107.60, 706,644.60 and 134,149.88 is: 201,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,107.60 : 706,644.60 = 134,149.88 : x
  2. Step 2: Convert to fraction form
    471,107.60/706,644.60 = 134,149.88/x
  3. Step 3: Cross multiply
    471,107.60x = 706,644.60 × 134,149.88
  4. Step 4: Simplify right side
    471,107.60x = 94,796,288,292.65
  5. Step 5: Solve for x
    x = 94,796,288,292.65/471,107.60
  6. Step 6: Final answer
    x = 201,220.04

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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.