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Finding the Fourth Proportional to 113,082.60, 169,623.90 and 65,843.40

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Solution

The fourth proportional to 113,082.60, 169,623.90 and 65,843.40 is: 98,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,082.60 : 169,623.90 = 65,843.40 : x
  2. Step 2: Convert to fraction form
    113,082.60/169,623.90 = 65,843.40/x
  3. Step 3: Cross multiply
    113,082.60x = 169,623.90 × 65,843.40
  4. Step 4: Simplify right side
    113,082.60x = 11,168,614,297.26
  5. Step 5: Solve for x
    x = 11,168,614,297.26/113,082.60
  6. Step 6: Final answer
    x = 98,765.10

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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.