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Finding the Fourth Proportional to 127,682, 191,523 and 40,130

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Solution

The fourth proportional to 127,682, 191,523 and 40,130 is: 60,195

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,682 : 191,523 = 40,130 : x
  2. Step 2: Convert to fraction form
    127,682/191,523 = 40,130/x
  3. Step 3: Cross multiply
    127,682x = 191,523 × 40,130
  4. Step 4: Simplify right side
    127,682x = 7,685,817,990
  5. Step 5: Solve for x
    x = 7,685,817,990/127,682
  6. Step 6: Final answer
    x = 60,195

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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.