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Finding the Fourth Proportional to 92,522.64, 138,839.31 and 84,993.90

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Solution

The fourth proportional to 92,522.64, 138,839.31 and 84,993.90 is: 127,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,522.64 : 138,839.31 = 84,993.90 : x
  2. Step 2: Convert to fraction form
    92,522.64/138,839.31 = 84,993.90/x
  3. Step 3: Cross multiply
    92,522.64x = 138,839.31 × 84,993.90
  4. Step 4: Simplify right side
    92,522.64x = 11,800,494,430.21
  5. Step 5: Solve for x
    x = 11,800,494,430.21/92,522.64
  6. Step 6: Final answer
    x = 127,541.70

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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.