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Finding the Fourth Proportional to 237,122.84, 327,224.92 and 129,692.56

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Solution

The fourth proportional to 237,122.84, 327,224.92 and 129,692.56 is: 178,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,122.84 : 327,224.92 = 129,692.56 : x
  2. Step 2: Convert to fraction form
    237,122.84/327,224.92 = 129,692.56/x
  3. Step 3: Cross multiply
    237,122.84x = 327,224.92 × 129,692.56
  4. Step 4: Simplify right side
    237,122.84x = 42,438,637,570.60
  5. Step 5: Solve for x
    x = 42,438,637,570.60/237,122.84
  6. Step 6: Final answer
    x = 178,973.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.