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Finding the Fourth Proportional to 127,682.50, 191,523.75 and 40,130.50

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Solution

The fourth proportional to 127,682.50, 191,523.75 and 40,130.50 is: 60,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,682.50 : 191,523.75 = 40,130.50 : x
  2. Step 2: Convert to fraction form
    127,682.50/191,523.75 = 40,130.50/x
  3. Step 3: Cross multiply
    127,682.50x = 191,523.75 × 40,130.50
  4. Step 4: Simplify right side
    127,682.50x = 7,685,943,849.38
  5. Step 5: Solve for x
    x = 7,685,943,849.38/127,682.50
  6. Step 6: Final answer
    x = 60,195.75

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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.