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Finding the Fourth Proportional to 92,149.70, 138,047.29 and 56,506.97

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Solution

The fourth proportional to 92,149.70, 138,047.29 and 56,506.97 is: 84,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,149.70 : 138,047.29 = 56,506.97 : x
  2. Step 2: Convert to fraction form
    92,149.70/138,047.29 = 56,506.97/x
  3. Step 3: Cross multiply
    92,149.70x = 138,047.29 × 56,506.97
  4. Step 4: Simplify right side
    92,149.70x = 7,800,633,501.95
  5. Step 5: Solve for x
    x = 7,800,633,501.95/92,149.70
  6. Step 6: Final answer
    x = 84,651.75

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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.