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Finding the Fourth Proportional to 209,850.80, 314,873.40 and 110,123.60

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Solution

The fourth proportional to 209,850.80, 314,873.40 and 110,123.60 is: 165,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,850.80 : 314,873.40 = 110,123.60 : x
  2. Step 2: Convert to fraction form
    209,850.80/314,873.40 = 110,123.60/x
  3. Step 3: Cross multiply
    209,850.80x = 314,873.40 × 110,123.60
  4. Step 4: Simplify right side
    209,850.80x = 34,674,992,352.24
  5. Step 5: Solve for x
    x = 34,674,992,352.24/209,850.80
  6. Step 6: Final answer
    x = 165,236.41

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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.