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Finding the Fourth Proportional to 115,107, 172,738.80 and 41,235

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Solution

The fourth proportional to 115,107, 172,738.80 and 41,235 is: 61,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,107 : 172,738.80 = 41,235 : x
  2. Step 2: Convert to fraction form
    115,107/172,738.80 = 41,235/x
  3. Step 3: Cross multiply
    115,107x = 172,738.80 × 41,235
  4. Step 4: Simplify right side
    115,107x = 7,122,884,418.00
  5. Step 5: Solve for x
    x = 7,122,884,418.00/115,107
  6. Step 6: Final answer
    x = 61,880.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.