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Finding the Fourth Proportional to 238,814.40, 329,644.78 and 148,223.38

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Solution

The fourth proportional to 238,814.40, 329,644.78 and 148,223.38 is: 204,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,814.40 : 329,644.78 = 148,223.38 : x
  2. Step 2: Convert to fraction form
    238,814.40/329,644.78 = 148,223.38/x
  3. Step 3: Cross multiply
    238,814.40x = 329,644.78 × 148,223.38
  4. Step 4: Simplify right side
    238,814.40x = 48,861,063,490.96
  5. Step 5: Solve for x
    x = 48,861,063,490.96/238,814.40
  6. Step 6: Final answer
    x = 204,598.48

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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.