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Finding the Fourth Proportional to 111,182.40, 166,514.40 and 75,931.20

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Solution

The fourth proportional to 111,182.40, 166,514.40 and 75,931.20 is: 113,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,182.40 : 166,514.40 = 75,931.20 : x
  2. Step 2: Convert to fraction form
    111,182.40/166,514.40 = 75,931.20/x
  3. Step 3: Cross multiply
    111,182.40x = 166,514.40 × 75,931.20
  4. Step 4: Simplify right side
    111,182.40x = 12,643,638,209.28
  5. Step 5: Solve for x
    x = 12,643,638,209.28/111,182.40
  6. Step 6: Final answer
    x = 113,719.78

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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.