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Finding the Fourth Proportional to 199,644.57, 299,481.48 and 57,484.08

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Solution

The fourth proportional to 199,644.57, 299,481.48 and 57,484.08 is: 86,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,644.57 : 299,481.48 = 57,484.08 : x
  2. Step 2: Convert to fraction form
    199,644.57/299,481.48 = 57,484.08/x
  3. Step 3: Cross multiply
    199,644.57x = 299,481.48 × 57,484.08
  4. Step 4: Simplify right side
    199,644.57x = 17,215,417,354.84
  5. Step 5: Solve for x
    x = 17,215,417,354.84/199,644.57
  6. Step 6: Final answer
    x = 86,230.33

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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.