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Finding the Fourth Proportional to 276,913.38, 382,140.47 and 149,588.98

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Solution

The fourth proportional to 276,913.38, 382,140.47 and 149,588.98 is: 206,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,913.38 : 382,140.47 = 149,588.98 : x
  2. Step 2: Convert to fraction form
    276,913.38/382,140.47 = 149,588.98/x
  3. Step 3: Cross multiply
    276,913.38x = 382,140.47 × 149,588.98
  4. Step 4: Simplify right side
    276,913.38x = 57,164,003,124.02
  5. Step 5: Solve for x
    x = 57,164,003,124.02/276,913.38
  6. Step 6: Final answer
    x = 206,432.80

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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.