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Finding the Fourth Proportional to 92,126.68, 137,968.56 and 52,563.85

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Solution

The fourth proportional to 92,126.68, 137,968.56 and 52,563.85 is: 78,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,126.68 : 137,968.56 = 52,563.85 : x
  2. Step 2: Convert to fraction form
    92,126.68/137,968.56 = 52,563.85/x
  3. Step 3: Cross multiply
    92,126.68x = 137,968.56 × 52,563.85
  4. Step 4: Simplify right side
    92,126.68x = 7,252,158,347.63
  5. Step 5: Solve for x
    x = 7,252,158,347.63/92,126.68
  6. Step 6: Final answer
    x = 78,719.42

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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.