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Finding the Fourth Proportional to 92,251.56, 138,421.08 and 54,885.45

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Solution

The fourth proportional to 92,251.56, 138,421.08 and 54,885.45 is: 82,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,251.56 : 138,421.08 = 54,885.45 : x
  2. Step 2: Convert to fraction form
    92,251.56/138,421.08 = 54,885.45/x
  3. Step 3: Cross multiply
    92,251.56x = 138,421.08 × 54,885.45
  4. Step 4: Simplify right side
    92,251.56x = 7,597,303,265.29
  5. Step 5: Solve for x
    x = 7,597,303,265.29/92,251.56
  6. Step 6: Final answer
    x = 82,354.20

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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.