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Finding the Fourth Proportional to 199,889.38, 275,846.88 and 113,848.35

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Solution

The fourth proportional to 199,889.38, 275,846.88 and 113,848.35 is: 157,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,889.38 : 275,846.88 = 113,848.35 : x
  2. Step 2: Convert to fraction form
    199,889.38/275,846.88 = 113,848.35/x
  3. Step 3: Cross multiply
    199,889.38x = 275,846.88 × 113,848.35
  4. Step 4: Simplify right side
    199,889.38x = 31,404,712,140.65
  5. Step 5: Solve for x
    x = 31,404,712,140.65/199,889.38
  6. Step 6: Final answer
    x = 157,110.46

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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.