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Finding the Fourth Proportional to 199,775.34, 275,698.35 and 114,892.47

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Solution

The fourth proportional to 199,775.34, 275,698.35 and 114,892.47 is: 158,556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,775.34 : 275,698.35 = 114,892.47 : x
  2. Step 2: Convert to fraction form
    199,775.34/275,698.35 = 114,892.47/x
  3. Step 3: Cross multiply
    199,775.34x = 275,698.35 × 114,892.47
  4. Step 4: Simplify right side
    199,775.34x = 31,675,664,406.42
  5. Step 5: Solve for x
    x = 31,675,664,406.42/199,775.34
  6. Step 6: Final answer
    x = 158,556.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.