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Finding the Fourth Proportional to 115,605, 173,442.47 and 81,936.14

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Solution

The fourth proportional to 115,605, 173,442.47 and 81,936.14 is: 122,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,605 : 173,442.47 = 81,936.14 : x
  2. Step 2: Convert to fraction form
    115,605/173,442.47 = 81,936.14/x
  3. Step 3: Cross multiply
    115,605x = 173,442.47 × 81,936.14
  4. Step 4: Simplify right side
    115,605x = 14,211,205,226.97
  5. Step 5: Solve for x
    x = 14,211,205,226.97/115,605
  6. Step 6: Final answer
    x = 122,928.98

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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.