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Finding the Fourth Proportional to 209,885.80, 314,921.76 and 110,022.16

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Solution

The fourth proportional to 209,885.80, 314,921.76 and 110,022.16 is: 165,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.80 : 314,921.76 = 110,022.16 : x
  2. Step 2: Convert to fraction form
    209,885.80/314,921.76 = 110,022.16/x
  3. Step 3: Cross multiply
    209,885.80x = 314,921.76 × 110,022.16
  4. Step 4: Simplify right side
    209,885.80x = 34,648,372,266.20
  5. Step 5: Solve for x
    x = 34,648,372,266.20/209,885.80
  6. Step 6: Final answer
    x = 165,082.02

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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.