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Finding the Fourth Proportional to 101,726.48, 140,411.78 and 61,433.44

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Solution

The fourth proportional to 101,726.48, 140,411.78 and 61,433.44 is: 84,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,726.48 : 140,411.78 = 61,433.44 : x
  2. Step 2: Convert to fraction form
    101,726.48/140,411.78 = 61,433.44/x
  3. Step 3: Cross multiply
    101,726.48x = 140,411.78 × 61,433.44
  4. Step 4: Simplify right side
    101,726.48x = 8,625,978,234.10
  5. Step 5: Solve for x
    x = 8,625,978,234.10/101,726.48
  6. Step 6: Final answer
    x = 84,795.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.