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Finding the Fourth Proportional to 113,077, 169,615.50 and 34,189.48

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Solution

The fourth proportional to 113,077, 169,615.50 and 34,189.48 is: 51,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,077 : 169,615.50 = 34,189.48 : x
  2. Step 2: Convert to fraction form
    113,077/169,615.50 = 34,189.48/x
  3. Step 3: Cross multiply
    113,077x = 169,615.50 × 34,189.48
  4. Step 4: Simplify right side
    113,077x = 5,799,065,744.94
  5. Step 5: Solve for x
    x = 5,799,065,744.94/113,077
  6. Step 6: Final answer
    x = 51,284.22

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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.