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Finding the Fourth Proportional to 115,810.80, 173,716.20 and 81,985.20

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Solution

The fourth proportional to 115,810.80, 173,716.20 and 81,985.20 is: 122,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,810.80 : 173,716.20 = 81,985.20 : x
  2. Step 2: Convert to fraction form
    115,810.80/173,716.20 = 81,985.20/x
  3. Step 3: Cross multiply
    115,810.80x = 173,716.20 × 81,985.20
  4. Step 4: Simplify right side
    115,810.80x = 14,242,157,400.24
  5. Step 5: Solve for x
    x = 14,242,157,400.24/115,810.80
  6. Step 6: Final answer
    x = 122,977.80

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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.