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Finding the Fourth Proportional to 115,091.84, 172,596 and 40,190.96

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Solution

The fourth proportional to 115,091.84, 172,596 and 40,190.96 is: 60,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,091.84 : 172,596 = 40,190.96 : x
  2. Step 2: Convert to fraction form
    115,091.84/172,596 = 40,190.96/x
  3. Step 3: Cross multiply
    115,091.84x = 172,596 × 40,190.96
  4. Step 4: Simplify right side
    115,091.84x = 6,936,798,932.16
  5. Step 5: Solve for x
    x = 6,936,798,932.16/115,091.84
  6. Step 6: Final answer
    x = 60,271.86

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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.