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Finding the Fourth Proportional to 92,233.41, 138,084 and 54,167.31

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Solution

The fourth proportional to 92,233.41, 138,084 and 54,167.31 is: 81,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,233.41 : 138,084 = 54,167.31 : x
  2. Step 2: Convert to fraction form
    92,233.41/138,084 = 54,167.31/x
  3. Step 3: Cross multiply
    92,233.41x = 138,084 × 54,167.31
  4. Step 4: Simplify right side
    92,233.41x = 7,479,638,834.04
  5. Step 5: Solve for x
    x = 7,479,638,834.04/92,233.41
  6. Step 6: Final answer
    x = 81,094.68

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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.