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Finding the Fourth Proportional to 205,031.30, 307,546.95 and 163,559.30

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Solution

The fourth proportional to 205,031.30, 307,546.95 and 163,559.30 is: 245,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,031.30 : 307,546.95 = 163,559.30 : x
  2. Step 2: Convert to fraction form
    205,031.30/307,546.95 = 163,559.30/x
  3. Step 3: Cross multiply
    205,031.30x = 307,546.95 × 163,559.30
  4. Step 4: Simplify right side
    205,031.30x = 50,302,163,859.14
  5. Step 5: Solve for x
    x = 50,302,163,859.14/205,031.30
  6. Step 6: Final answer
    x = 245,338.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.