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Finding the Fourth Proportional to 209,880.92, 314,914.11 and 110,017.22

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Solution

The fourth proportional to 209,880.92, 314,914.11 and 110,017.22 is: 165,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,880.92 : 314,914.11 = 110,017.22 : x
  2. Step 2: Convert to fraction form
    209,880.92/314,914.11 = 110,017.22/x
  3. Step 3: Cross multiply
    209,880.92x = 314,914.11 × 110,017.22
  4. Step 4: Simplify right side
    209,880.92x = 34,645,974,920.97
  5. Step 5: Solve for x
    x = 34,645,974,920.97/209,880.92
  6. Step 6: Final answer
    x = 165,074.44

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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.