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Finding the Fourth Proportional to 192,758.28, 265,869.18 and 117,311.64

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Solution

The fourth proportional to 192,758.28, 265,869.18 and 117,311.64 is: 161,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,758.28 : 265,869.18 = 117,311.64 : x
  2. Step 2: Convert to fraction form
    192,758.28/265,869.18 = 117,311.64/x
  3. Step 3: Cross multiply
    192,758.28x = 265,869.18 × 117,311.64
  4. Step 4: Simplify right side
    192,758.28x = 31,189,549,531.26
  5. Step 5: Solve for x
    x = 31,189,549,531.26/192,758.28
  6. Step 6: Final answer
    x = 161,806.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.