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Finding the Fourth Proportional to 252,190.80, 378,043.20 and 145,465.20

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Solution

The fourth proportional to 252,190.80, 378,043.20 and 145,465.20 is: 218,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,190.80 : 378,043.20 = 145,465.20 : x
  2. Step 2: Convert to fraction form
    252,190.80/378,043.20 = 145,465.20/x
  3. Step 3: Cross multiply
    252,190.80x = 378,043.20 × 145,465.20
  4. Step 4: Simplify right side
    252,190.80x = 54,992,129,696.64
  5. Step 5: Solve for x
    x = 54,992,129,696.64/252,190.80
  6. Step 6: Final answer
    x = 218,057.64

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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.