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Finding the Fourth Proportional to 110,971.40, 166,457.10 and 44,443.40

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Solution

The fourth proportional to 110,971.40, 166,457.10 and 44,443.40 is: 66,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,971.40 : 166,457.10 = 44,443.40 : x
  2. Step 2: Convert to fraction form
    110,971.40/166,457.10 = 44,443.40/x
  3. Step 3: Cross multiply
    110,971.40x = 166,457.10 × 44,443.40
  4. Step 4: Simplify right side
    110,971.40x = 7,397,919,478.14
  5. Step 5: Solve for x
    x = 7,397,919,478.14/110,971.40
  6. Step 6: Final answer
    x = 66,665.10

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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.