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Finding the Fourth Proportional to 238,013.76, 328,189.68 and 151,857.48

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Solution

The fourth proportional to 238,013.76, 328,189.68 and 151,857.48 is: 209,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,013.76 : 328,189.68 = 151,857.48 : x
  2. Step 2: Convert to fraction form
    238,013.76/328,189.68 = 151,857.48/x
  3. Step 3: Cross multiply
    238,013.76x = 328,189.68 × 151,857.48
  4. Step 4: Simplify right side
    238,013.76x = 49,838,057,766.81
  5. Step 5: Solve for x
    x = 49,838,057,766.81/238,013.76
  6. Step 6: Final answer
    x = 209,391.50

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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.