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Finding the Fourth Proportional to 109,913.39, 164,864.97 and 45,845.09

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Solution

The fourth proportional to 109,913.39, 164,864.97 and 45,845.09 is: 68,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913.39 : 164,864.97 = 45,845.09 : x
  2. Step 2: Convert to fraction form
    109,913.39/164,864.97 = 45,845.09/x
  3. Step 3: Cross multiply
    109,913.39x = 164,864.97 × 45,845.09
  4. Step 4: Simplify right side
    109,913.39x = 7,558,249,181.42
  5. Step 5: Solve for x
    x = 7,558,249,181.42/109,913.39
  6. Step 6: Final answer
    x = 68,765.50

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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.