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Finding the Fourth Proportional to 131,309.48, 196,983.66 and 48,197

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Solution

The fourth proportional to 131,309.48, 196,983.66 and 48,197 is: 72,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,309.48 : 196,983.66 = 48,197 : x
  2. Step 2: Convert to fraction form
    131,309.48/196,983.66 = 48,197/x
  3. Step 3: Cross multiply
    131,309.48x = 196,983.66 × 48,197
  4. Step 4: Simplify right side
    131,309.48x = 9,494,021,461.02
  5. Step 5: Solve for x
    x = 9,494,021,461.02/131,309.48
  6. Step 6: Final answer
    x = 72,302.64

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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.