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Finding the Fourth Proportional to 113,224.80, 169,815.60 and 34,341.60

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Solution

The fourth proportional to 113,224.80, 169,815.60 and 34,341.60 is: 51,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,224.80 : 169,815.60 = 34,341.60 : x
  2. Step 2: Convert to fraction form
    113,224.80/169,815.60 = 34,341.60/x
  3. Step 3: Cross multiply
    113,224.80x = 169,815.60 × 34,341.60
  4. Step 4: Simplify right side
    113,224.80x = 5,831,739,408.96
  5. Step 5: Solve for x
    x = 5,831,739,408.96/113,224.80
  6. Step 6: Final answer
    x = 51,505.85

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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.