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Finding the Fourth Proportional to 113,967.54, 170,885.25 and 54,722.34

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Solution

The fourth proportional to 113,967.54, 170,885.25 and 54,722.34 is: 82,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,967.54 : 170,885.25 = 54,722.34 : x
  2. Step 2: Convert to fraction form
    113,967.54/170,885.25 = 54,722.34/x
  3. Step 3: Cross multiply
    113,967.54x = 170,885.25 × 54,722.34
  4. Step 4: Simplify right side
    113,967.54x = 9,351,240,751.49
  5. Step 5: Solve for x
    x = 9,351,240,751.49/113,967.54
  6. Step 6: Final answer
    x = 82,051.79

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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.