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Finding the Fourth Proportional to 113,495.10, 169,914.60 and 110,214.60

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Solution

The fourth proportional to 113,495.10, 169,914.60 and 110,214.60 is: 165,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,495.10 : 169,914.60 = 110,214.60 : x
  2. Step 2: Convert to fraction form
    113,495.10/169,914.60 = 110,214.60/x
  3. Step 3: Cross multiply
    113,495.10x = 169,914.60 × 110,214.60
  4. Step 4: Simplify right side
    113,495.10x = 18,727,069,673.16
  5. Step 5: Solve for x
    x = 18,727,069,673.16/113,495.10
  6. Step 6: Final answer
    x = 165,003.33

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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.