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Finding the Fourth Proportional to 257,180.80, 385,713.60 and 169,052.80

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Solution

The fourth proportional to 257,180.80, 385,713.60 and 169,052.80 is: 253,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,180.80 : 385,713.60 = 169,052.80 : x
  2. Step 2: Convert to fraction form
    257,180.80/385,713.60 = 169,052.80/x
  3. Step 3: Cross multiply
    257,180.80x = 385,713.60 × 169,052.80
  4. Step 4: Simplify right side
    257,180.80x = 65,205,964,078.08
  5. Step 5: Solve for x
    x = 65,205,964,078.08/257,180.80
  6. Step 6: Final answer
    x = 253,541.34

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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.