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Finding the Fourth Proportional to 205,980.10, 308,682.15 and 163,932.10

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Solution

The fourth proportional to 205,980.10, 308,682.15 and 163,932.10 is: 245,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,980.10 : 308,682.15 = 163,932.10 : x
  2. Step 2: Convert to fraction form
    205,980.10/308,682.15 = 163,932.10/x
  3. Step 3: Cross multiply
    205,980.10x = 308,682.15 × 163,932.10
  4. Step 4: Simplify right side
    205,980.10x = 50,602,913,082.02
  5. Step 5: Solve for x
    x = 50,602,913,082.02/205,980.10
  6. Step 6: Final answer
    x = 245,668.94

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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.