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Finding the Fourth Proportional to 110,918.16, 166,443.12 and 40,846.68

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Solution

The fourth proportional to 110,918.16, 166,443.12 and 40,846.68 is: 61,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,918.16 : 166,443.12 = 40,846.68 : x
  2. Step 2: Convert to fraction form
    110,918.16/166,443.12 = 40,846.68/x
  3. Step 3: Cross multiply
    110,918.16x = 166,443.12 × 40,846.68
  4. Step 4: Simplify right side
    110,918.16x = 6,798,648,860.84
  5. Step 5: Solve for x
    x = 6,798,648,860.84/110,918.16
  6. Step 6: Final answer
    x = 61,294.28

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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.