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Finding the Fourth Proportional to 243,216.30, 364,825.67 and 109,940.52

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Solution

The fourth proportional to 243,216.30, 364,825.67 and 109,940.52 is: 164,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,216.30 : 364,825.67 = 109,940.52 : x
  2. Step 2: Convert to fraction form
    243,216.30/364,825.67 = 109,940.52/x
  3. Step 3: Cross multiply
    243,216.30x = 364,825.67 × 109,940.52
  4. Step 4: Simplify right side
    243,216.30x = 40,109,123,319.45
  5. Step 5: Solve for x
    x = 40,109,123,319.45/243,216.30
  6. Step 6: Final answer
    x = 164,911.33

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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.