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Finding the Fourth Proportional to 542,082.77, 813,125.94 and 137,274.76

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Solution

The fourth proportional to 542,082.77, 813,125.94 and 137,274.76 is: 205,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,082.77 : 813,125.94 = 137,274.76 : x
  2. Step 2: Convert to fraction form
    542,082.77/813,125.94 = 137,274.76/x
  3. Step 3: Cross multiply
    542,082.77x = 813,125.94 × 137,274.76
  4. Step 4: Simplify right side
    542,082.77x = 111,621,668,263.27
  5. Step 5: Solve for x
    x = 111,621,668,263.27/542,082.77
  6. Step 6: Final answer
    x = 205,912.59

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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.