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Finding the Fourth Proportional to 182,876.94, 274,315.41 and 64,472.76

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Solution

The fourth proportional to 182,876.94, 274,315.41 and 64,472.76 is: 96,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,876.94 : 274,315.41 = 64,472.76 : x
  2. Step 2: Convert to fraction form
    182,876.94/274,315.41 = 64,472.76/x
  3. Step 3: Cross multiply
    182,876.94x = 274,315.41 × 64,472.76
  4. Step 4: Simplify right side
    182,876.94x = 17,685,871,593.23
  5. Step 5: Solve for x
    x = 17,685,871,593.23/182,876.94
  6. Step 6: Final answer
    x = 96,709.14

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Why These Related Problems?

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