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Finding the Fourth Proportional to 237,912.30, 328,146.84 and 202,045.50

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Solution

The fourth proportional to 237,912.30, 328,146.84 and 202,045.50 is: 278,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,912.30 : 328,146.84 = 202,045.50 : x
  2. Step 2: Convert to fraction form
    237,912.30/328,146.84 = 202,045.50/x
  3. Step 3: Cross multiply
    237,912.30x = 328,146.84 × 202,045.50
  4. Step 4: Simplify right side
    237,912.30x = 66,300,592,361.22
  5. Step 5: Solve for x
    x = 66,300,592,361.22/237,912.30
  6. Step 6: Final answer
    x = 278,676.61

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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.