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Finding the Fourth Proportional to 209,886.05, 314,922.14 and 110,022.41

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Solution

The fourth proportional to 209,886.05, 314,922.14 and 110,022.41 is: 165,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,886.05 : 314,922.14 = 110,022.41 : x
  2. Step 2: Convert to fraction form
    209,886.05/314,922.14 = 110,022.41/x
  3. Step 3: Cross multiply
    209,886.05x = 314,922.14 × 110,022.41
  4. Step 4: Simplify right side
    209,886.05x = 34,648,492,255.05
  5. Step 5: Solve for x
    x = 34,648,492,255.05/209,886.05
  6. Step 6: Final answer
    x = 165,082.40

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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.