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Finding the Fourth Proportional to 205,002.80, 306,985.80 and 163,530.80

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Solution

The fourth proportional to 205,002.80, 306,985.80 and 163,530.80 is: 244,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,002.80 : 306,985.80 = 163,530.80 : x
  2. Step 2: Convert to fraction form
    205,002.80/306,985.80 = 163,530.80/x
  3. Step 3: Cross multiply
    205,002.80x = 306,985.80 × 163,530.80
  4. Step 4: Simplify right side
    205,002.80x = 50,201,633,462.64
  5. Step 5: Solve for x
    x = 50,201,633,462.64/205,002.80
  6. Step 6: Final answer
    x = 244,882.67

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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.