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Finding the Fourth Proportional to 111,821.28, 167,654.16 and 41,681.76

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Solution

The fourth proportional to 111,821.28, 167,654.16 and 41,681.76 is: 62,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,821.28 : 167,654.16 = 41,681.76 : x
  2. Step 2: Convert to fraction form
    111,821.28/167,654.16 = 41,681.76/x
  3. Step 3: Cross multiply
    111,821.28x = 167,654.16 × 41,681.76
  4. Step 4: Simplify right side
    111,821.28x = 6,988,120,460.12
  5. Step 5: Solve for x
    x = 6,988,120,460.12/111,821.28
  6. Step 6: Final answer
    x = 62,493.65

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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.