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Finding the Fourth Proportional to 205,150.40, 307,466.40 and 182,859.20

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Solution

The fourth proportional to 205,150.40, 307,466.40 and 182,859.20 is: 274,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,150.40 : 307,466.40 = 182,859.20 : x
  2. Step 2: Convert to fraction form
    205,150.40/307,466.40 = 182,859.20/x
  3. Step 3: Cross multiply
    205,150.40x = 307,466.40 × 182,859.20
  4. Step 4: Simplify right side
    205,150.40x = 56,223,059,930.88
  5. Step 5: Solve for x
    x = 56,223,059,930.88/205,150.40
  6. Step 6: Final answer
    x = 274,057.76

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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.