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Finding the Fourth Proportional to 92,040, 138,134.06 and 52,083.42

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Solution

The fourth proportional to 92,040, 138,134.06 and 52,083.42 is: 78,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,040 : 138,134.06 = 52,083.42 : x
  2. Step 2: Convert to fraction form
    92,040/138,134.06 = 52,083.42/x
  3. Step 3: Cross multiply
    92,040x = 138,134.06 × 52,083.42
  4. Step 4: Simplify right side
    92,040x = 7,194,494,263.29
  5. Step 5: Solve for x
    x = 7,194,494,263.29/92,040
  6. Step 6: Final answer
    x = 78,167.04

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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.