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Finding the Fourth Proportional to 238,362.38, 328,802.69 and 142,813.73

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Solution

The fourth proportional to 238,362.38, 328,802.69 and 142,813.73 is: 197,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,362.38 : 328,802.69 = 142,813.73 : x
  2. Step 2: Convert to fraction form
    238,362.38/328,802.69 = 142,813.73/x
  3. Step 3: Cross multiply
    238,362.38x = 328,802.69 × 142,813.73
  4. Step 4: Simplify right side
    238,362.38x = 46,957,539,771.97
  5. Step 5: Solve for x
    x = 46,957,539,771.97/238,362.38
  6. Step 6: Final answer
    x = 197,000.63

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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.