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Finding the Fourth Proportional to 111,284.64, 166,810.32 and 41,119.20

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Solution

The fourth proportional to 111,284.64, 166,810.32 and 41,119.20 is: 61,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,284.64 : 166,810.32 = 41,119.20 : x
  2. Step 2: Convert to fraction form
    111,284.64/166,810.32 = 41,119.20/x
  3. Step 3: Cross multiply
    111,284.64x = 166,810.32 × 41,119.20
  4. Step 4: Simplify right side
    111,284.64x = 6,859,106,910.14
  5. Step 5: Solve for x
    x = 6,859,106,910.14/111,284.64
  6. Step 6: Final answer
    x = 61,635.70

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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.