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Finding the Fourth Proportional to 252,022.40, 378,033.60 and 172,188.80

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Solution

The fourth proportional to 252,022.40, 378,033.60 and 172,188.80 is: 258,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,022.40 : 378,033.60 = 172,188.80 : x
  2. Step 2: Convert to fraction form
    252,022.40/378,033.60 = 172,188.80/x
  3. Step 3: Cross multiply
    252,022.40x = 378,033.60 × 172,188.80
  4. Step 4: Simplify right side
    252,022.40x = 65,093,151,943.68
  5. Step 5: Solve for x
    x = 65,093,151,943.68/252,022.40
  6. Step 6: Final answer
    x = 258,283.20

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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.