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Finding the Fourth Proportional to 205,135.80, 307,185.30 and 163,663.80

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Solution

The fourth proportional to 205,135.80, 307,185.30 and 163,663.80 is: 245,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,135.80 : 307,185.30 = 163,663.80 : x
  2. Step 2: Convert to fraction form
    205,135.80/307,185.30 = 163,663.80/x
  3. Step 3: Cross multiply
    205,135.80x = 307,185.30 × 163,663.80
  4. Step 4: Simplify right side
    205,135.80x = 50,275,113,502.14
  5. Step 5: Solve for x
    x = 50,275,113,502.14/205,135.80
  6. Step 6: Final answer
    x = 245,082.10

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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.